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Finding the Fourth Proportional to 5,590.32, 8,381.88 and 1,693.68

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Solution

The fourth proportional to 5,590.32, 8,381.88 and 1,693.68 is: 2,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.32 : 8,381.88 = 1,693.68 : x
  2. Step 2: Convert to fraction form
    5,590.32/8,381.88 = 1,693.68/x
  3. Step 3: Cross multiply
    5,590.32x = 8,381.88 × 1,693.68
  4. Step 4: Simplify right side
    5,590.32x = 14,196,222.52
  5. Step 5: Solve for x
    x = 14,196,222.52/5,590.32
  6. Step 6: Final answer
    x = 2,539.43

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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.