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Finding the Fourth Proportional to 4,564.10, 6,851.55 and 4,531.70

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Solution

The fourth proportional to 4,564.10, 6,851.55 and 4,531.70 is: 6,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.10 : 6,851.55 = 4,531.70 : x
  2. Step 2: Convert to fraction form
    4,564.10/6,851.55 = 4,531.70/x
  3. Step 3: Cross multiply
    4,564.10x = 6,851.55 × 4,531.70
  4. Step 4: Simplify right side
    4,564.10x = 31,049,169.14
  5. Step 5: Solve for x
    x = 31,049,169.14/4,564.10
  6. Step 6: Final answer
    x = 6,802.91

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