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Finding the Fourth Proportional to 5,265.40, 7,859.56 and 4,642.64

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Solution

The fourth proportional to 5,265.40, 7,859.56 and 4,642.64 is: 6,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.40 : 7,859.56 = 4,642.64 : x
  2. Step 2: Convert to fraction form
    5,265.40/7,859.56 = 4,642.64/x
  3. Step 3: Cross multiply
    5,265.40x = 7,859.56 × 4,642.64
  4. Step 4: Simplify right side
    5,265.40x = 36,489,084.43
  5. Step 5: Solve for x
    x = 36,489,084.43/5,265.40
  6. Step 6: Final answer
    x = 6,929.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.