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Finding the Fourth Proportional to 5,423.60, 7,484.16 and 3,657.60

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Solution

The fourth proportional to 5,423.60, 7,484.16 and 3,657.60 is: 5,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.60 : 7,484.16 = 3,657.60 : x
  2. Step 2: Convert to fraction form
    5,423.60/7,484.16 = 3,657.60/x
  3. Step 3: Cross multiply
    5,423.60x = 7,484.16 × 3,657.60
  4. Step 4: Simplify right side
    5,423.60x = 27,374,063.62
  5. Step 5: Solve for x
    x = 27,374,063.62/5,423.60
  6. Step 6: Final answer
    x = 5,047.21

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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.