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Finding the Fourth Proportional to 5,657.84, 8,490.88 and 4,272.90

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Solution

The fourth proportional to 5,657.84, 8,490.88 and 4,272.90 is: 6,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.84 : 8,490.88 = 4,272.90 : x
  2. Step 2: Convert to fraction form
    5,657.84/8,490.88 = 4,272.90/x
  3. Step 3: Cross multiply
    5,657.84x = 8,490.88 × 4,272.90
  4. Step 4: Simplify right side
    5,657.84x = 36,280,681.15
  5. Step 5: Solve for x
    x = 36,280,681.15/5,657.84
  6. Step 6: Final answer
    x = 6,412.46

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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.