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Finding the Fourth Proportional to 5,595.71, 7,721.92 and 3,078.08

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Solution

The fourth proportional to 5,595.71, 7,721.92 and 3,078.08 is: 4,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.71 : 7,721.92 = 3,078.08 : x
  2. Step 2: Convert to fraction form
    5,595.71/7,721.92 = 3,078.08/x
  3. Step 3: Cross multiply
    5,595.71x = 7,721.92 × 3,078.08
  4. Step 4: Simplify right side
    5,595.71x = 23,768,681.71
  5. Step 5: Solve for x
    x = 23,768,681.71/5,595.71
  6. Step 6: Final answer
    x = 4,247.67

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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.