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Finding the Fourth Proportional to 5,602.16, 8,396.28 and 2,478.80

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Solution

The fourth proportional to 5,602.16, 8,396.28 and 2,478.80 is: 3,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.16 : 8,396.28 = 2,478.80 : x
  2. Step 2: Convert to fraction form
    5,602.16/8,396.28 = 2,478.80/x
  3. Step 3: Cross multiply
    5,602.16x = 8,396.28 × 2,478.80
  4. Step 4: Simplify right side
    5,602.16x = 20,812,698.86
  5. Step 5: Solve for x
    x = 20,812,698.86/5,602.16
  6. Step 6: Final answer
    x = 3,715.12

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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.