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Finding the Fourth Proportional to 5,762,421.82, 7,953,798.54 and 3,803,729.56

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Solution

The fourth proportional to 5,762,421.82, 7,953,798.54 and 3,803,729.56 is: 5,250,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762,421.82 : 7,953,798.54 = 3,803,729.56 : x
  2. Step 2: Convert to fraction form
    5,762,421.82/7,953,798.54 = 3,803,729.56/x
  3. Step 3: Cross multiply
    5,762,421.82x = 7,953,798.54 × 3,803,729.56
  4. Step 4: Simplify right side
    5,762,421.82x = 30,254,098,620,882.84
  5. Step 5: Solve for x
    x = 30,254,098,620,882.84/5,762,421.82
  6. Step 6: Final answer
    x = 5,250,240.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.