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Finding the Fourth Proportional to 5,862.64, 8,787.88 and 3,666.32

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Solution

The fourth proportional to 5,862.64, 8,787.88 and 3,666.32 is: 5,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.64 : 8,787.88 = 3,666.32 : x
  2. Step 2: Convert to fraction form
    5,862.64/8,787.88 = 3,666.32/x
  3. Step 3: Cross multiply
    5,862.64x = 8,787.88 × 3,666.32
  4. Step 4: Simplify right side
    5,862.64x = 32,219,161.87
  5. Step 5: Solve for x
    x = 32,219,161.87/5,862.64
  6. Step 6: Final answer
    x = 5,495.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.