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Finding the Fourth Proportional to 5,582.61, 8,374.32 and 1,687.32

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Solution

The fourth proportional to 5,582.61, 8,374.32 and 1,687.32 is: 2,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.61 : 8,374.32 = 1,687.32 : x
  2. Step 2: Convert to fraction form
    5,582.61/8,374.32 = 1,687.32/x
  3. Step 3: Cross multiply
    5,582.61x = 8,374.32 × 1,687.32
  4. Step 4: Simplify right side
    5,582.61x = 14,130,157.62
  5. Step 5: Solve for x
    x = 14,130,157.62/5,582.61
  6. Step 6: Final answer
    x = 2,531.10

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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.