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Finding the Fourth Proportional to 4,865.45, 7,292.10 and 3,565.40

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Solution

The fourth proportional to 4,865.45, 7,292.10 and 3,565.40 is: 5,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.45 : 7,292.10 = 3,565.40 : x
  2. Step 2: Convert to fraction form
    4,865.45/7,292.10 = 3,565.40/x
  3. Step 3: Cross multiply
    4,865.45x = 7,292.10 × 3,565.40
  4. Step 4: Simplify right side
    4,865.45x = 25,999,253.34
  5. Step 5: Solve for x
    x = 25,999,253.34/4,865.45
  6. Step 6: Final answer
    x = 5,343.65

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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.