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Finding the Fourth Proportional to 5,891.32, 8,130.90 and 3,534.04

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Solution

The fourth proportional to 5,891.32, 8,130.90 and 3,534.04 is: 4,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.32 : 8,130.90 = 3,534.04 : x
  2. Step 2: Convert to fraction form
    5,891.32/8,130.90 = 3,534.04/x
  3. Step 3: Cross multiply
    5,891.32x = 8,130.90 × 3,534.04
  4. Step 4: Simplify right side
    5,891.32x = 28,734,925.84
  5. Step 5: Solve for x
    x = 28,734,925.84/5,891.32
  6. Step 6: Final answer
    x = 4,877.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.