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Finding the Fourth Proportional to 4,502.59, 6,753.41 and 2,130.10

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Solution

The fourth proportional to 4,502.59, 6,753.41 and 2,130.10 is: 3,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.59 : 6,753.41 = 2,130.10 : x
  2. Step 2: Convert to fraction form
    4,502.59/6,753.41 = 2,130.10/x
  3. Step 3: Cross multiply
    4,502.59x = 6,753.41 × 2,130.10
  4. Step 4: Simplify right side
    4,502.59x = 14,385,394.22
  5. Step 5: Solve for x
    x = 14,385,394.22/4,502.59
  6. Step 6: Final answer
    x = 3,194.92

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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.