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Finding the Fourth Proportional to 5,925.42, 8,878.32 and 5,314.94

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Solution

The fourth proportional to 5,925.42, 8,878.32 and 5,314.94 is: 7,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.42 : 8,878.32 = 5,314.94 : x
  2. Step 2: Convert to fraction form
    5,925.42/8,878.32 = 5,314.94/x
  3. Step 3: Cross multiply
    5,925.42x = 8,878.32 × 5,314.94
  4. Step 4: Simplify right side
    5,925.42x = 47,187,738.10
  5. Step 5: Solve for x
    x = 47,187,738.10/5,925.42
  6. Step 6: Final answer
    x = 7,963.61

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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.