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Finding the Fourth Proportional to 5,154.84, 7,732.32 and 1,259.28

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Solution

The fourth proportional to 5,154.84, 7,732.32 and 1,259.28 is: 1,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.84 : 7,732.32 = 1,259.28 : x
  2. Step 2: Convert to fraction form
    5,154.84/7,732.32 = 1,259.28/x
  3. Step 3: Cross multiply
    5,154.84x = 7,732.32 × 1,259.28
  4. Step 4: Simplify right side
    5,154.84x = 9,737,155.93
  5. Step 5: Solve for x
    x = 9,737,155.93/5,154.84
  6. Step 6: Final answer
    x = 1,888.93

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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.