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Finding the Fourth Proportional to 5,434.61, 7,497.06 and 4,237.43

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Solution

The fourth proportional to 5,434.61, 7,497.06 and 4,237.43 is: 5,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.61 : 7,497.06 = 4,237.43 : x
  2. Step 2: Convert to fraction form
    5,434.61/7,497.06 = 4,237.43/x
  3. Step 3: Cross multiply
    5,434.61x = 7,497.06 × 4,237.43
  4. Step 4: Simplify right side
    5,434.61x = 31,768,229.47
  5. Step 5: Solve for x
    x = 31,768,229.47/5,434.61
  6. Step 6: Final answer
    x = 5,845.55

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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.