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Finding the Fourth Proportional to 4,572.17, 6,851.06 and 3,534.72

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Solution

The fourth proportional to 4,572.17, 6,851.06 and 3,534.72 is: 5,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.17 : 6,851.06 = 3,534.72 : x
  2. Step 2: Convert to fraction form
    4,572.17/6,851.06 = 3,534.72/x
  3. Step 3: Cross multiply
    4,572.17x = 6,851.06 × 3,534.72
  4. Step 4: Simplify right side
    4,572.17x = 24,216,587.64
  5. Step 5: Solve for x
    x = 24,216,587.64/4,572.17
  6. Step 6: Final answer
    x = 5,296.52

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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.