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Finding the Fourth Proportional to 5,607.60, 8,411.40 and 2,327.10

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Solution

The fourth proportional to 5,607.60, 8,411.40 and 2,327.10 is: 3,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.60 : 8,411.40 = 2,327.10 : x
  2. Step 2: Convert to fraction form
    5,607.60/8,411.40 = 2,327.10/x
  3. Step 3: Cross multiply
    5,607.60x = 8,411.40 × 2,327.10
  4. Step 4: Simplify right side
    5,607.60x = 19,574,168.94
  5. Step 5: Solve for x
    x = 19,574,168.94/5,607.60
  6. Step 6: Final answer
    x = 3,490.65

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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.