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Finding the Fourth Proportional to 4,707.88, 6,495 and 3,291.16

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Solution

The fourth proportional to 4,707.88, 6,495 and 3,291.16 is: 4,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.88 : 6,495 = 3,291.16 : x
  2. Step 2: Convert to fraction form
    4,707.88/6,495 = 3,291.16/x
  3. Step 3: Cross multiply
    4,707.88x = 6,495 × 3,291.16
  4. Step 4: Simplify right side
    4,707.88x = 21,376,084.20
  5. Step 5: Solve for x
    x = 21,376,084.20/4,707.88
  6. Step 6: Final answer
    x = 4,540.49

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