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Finding the Fourth Proportional to 4,985.32, 7,478.01 and 1,522.57

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Solution

The fourth proportional to 4,985.32, 7,478.01 and 1,522.57 is: 2,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.32 : 7,478.01 = 1,522.57 : x
  2. Step 2: Convert to fraction form
    4,985.32/7,478.01 = 1,522.57/x
  3. Step 3: Cross multiply
    4,985.32x = 7,478.01 × 1,522.57
  4. Step 4: Simplify right side
    4,985.32x = 11,385,793.69
  5. Step 5: Solve for x
    x = 11,385,793.69/4,985.32
  6. Step 6: Final answer
    x = 2,283.86

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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.