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Finding the Fourth Proportional to 5,237.48, 7,234.02 and 4,547.48

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Solution

The fourth proportional to 5,237.48, 7,234.02 and 4,547.48 is: 6,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.48 : 7,234.02 = 4,547.48 : x
  2. Step 2: Convert to fraction form
    5,237.48/7,234.02 = 4,547.48/x
  3. Step 3: Cross multiply
    5,237.48x = 7,234.02 × 4,547.48
  4. Step 4: Simplify right side
    5,237.48x = 32,896,561.27
  5. Step 5: Solve for x
    x = 32,896,561.27/5,237.48
  6. Step 6: Final answer
    x = 6,280.99

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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.