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Finding the Fourth Proportional to 4,242.04, 5,854.56 and 3,532.83

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Solution

The fourth proportional to 4,242.04, 5,854.56 and 3,532.83 is: 4,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.04 : 5,854.56 = 3,532.83 : x
  2. Step 2: Convert to fraction form
    4,242.04/5,854.56 = 3,532.83/x
  3. Step 3: Cross multiply
    4,242.04x = 5,854.56 × 3,532.83
  4. Step 4: Simplify right side
    4,242.04x = 20,683,165.20
  5. Step 5: Solve for x
    x = 20,683,165.20/4,242.04
  6. Step 6: Final answer
    x = 4,875.76

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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.