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Finding the Fourth Proportional to 5,431.76, 8,156.56 and 5,154.74

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Solution

The fourth proportional to 5,431.76, 8,156.56 and 5,154.74 is: 7,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.76 : 8,156.56 = 5,154.74 : x
  2. Step 2: Convert to fraction form
    5,431.76/8,156.56 = 5,154.74/x
  3. Step 3: Cross multiply
    5,431.76x = 8,156.56 × 5,154.74
  4. Step 4: Simplify right side
    5,431.76x = 42,044,946.09
  5. Step 5: Solve for x
    x = 42,044,946.09/5,431.76
  6. Step 6: Final answer
    x = 7,740.58

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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.