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Finding the Fourth Proportional to 4,363.80, 6,545.70 and 4,242.30

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Solution

The fourth proportional to 4,363.80, 6,545.70 and 4,242.30 is: 6,363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.80 : 6,545.70 = 4,242.30 : x
  2. Step 2: Convert to fraction form
    4,363.80/6,545.70 = 4,242.30/x
  3. Step 3: Cross multiply
    4,363.80x = 6,545.70 × 4,242.30
  4. Step 4: Simplify right side
    4,363.80x = 27,768,823.11
  5. Step 5: Solve for x
    x = 27,768,823.11/4,363.80
  6. Step 6: Final answer
    x = 6,363.45

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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.