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Finding the Fourth Proportional to 5,303.88, 7,955.82 and 3,655.46

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Solution

The fourth proportional to 5,303.88, 7,955.82 and 3,655.46 is: 5,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.88 : 7,955.82 = 3,655.46 : x
  2. Step 2: Convert to fraction form
    5,303.88/7,955.82 = 3,655.46/x
  3. Step 3: Cross multiply
    5,303.88x = 7,955.82 × 3,655.46
  4. Step 4: Simplify right side
    5,303.88x = 29,082,201.67
  5. Step 5: Solve for x
    x = 29,082,201.67/5,303.88
  6. Step 6: Final answer
    x = 5,483.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.