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Finding the Fourth Proportional to 4,572.02, 6,859.14 and 1,285.10

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Solution

The fourth proportional to 4,572.02, 6,859.14 and 1,285.10 is: 1,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.02 : 6,859.14 = 1,285.10 : x
  2. Step 2: Convert to fraction form
    4,572.02/6,859.14 = 1,285.10/x
  3. Step 3: Cross multiply
    4,572.02x = 6,859.14 × 1,285.10
  4. Step 4: Simplify right side
    4,572.02x = 8,814,680.81
  5. Step 5: Solve for x
    x = 8,814,680.81/4,572.02
  6. Step 6: Final answer
    x = 1,927.96

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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.