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Finding the Fourth Proportional to 3,438.10, 5,157.42 and 972.93

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Solution

The fourth proportional to 3,438.10, 5,157.42 and 972.93 is: 1,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.10 : 5,157.42 = 972.93 : x
  2. Step 2: Convert to fraction form
    3,438.10/5,157.42 = 972.93/x
  3. Step 3: Cross multiply
    3,438.10x = 5,157.42 × 972.93
  4. Step 4: Simplify right side
    3,438.10x = 5,017,803.78
  5. Step 5: Solve for x
    x = 5,017,803.78/3,438.10
  6. Step 6: Final answer
    x = 1,459.47

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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.