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Finding the Fourth Proportional to 3,415.47, 5,122.95 and 916.45

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Solution

The fourth proportional to 3,415.47, 5,122.95 and 916.45 is: 1,374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.47 : 5,122.95 = 916.45 : x
  2. Step 2: Convert to fraction form
    3,415.47/5,122.95 = 916.45/x
  3. Step 3: Cross multiply
    3,415.47x = 5,122.95 × 916.45
  4. Step 4: Simplify right side
    3,415.47x = 4,694,927.53
  5. Step 5: Solve for x
    x = 4,694,927.53/3,415.47
  6. Step 6: Final answer
    x = 1,374.61

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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.