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Finding the Fourth Proportional to 3,438.47, 5,158.03 and 973.30

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Solution

The fourth proportional to 3,438.47, 5,158.03 and 973.30 is: 1,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.47 : 5,158.03 = 973.30 : x
  2. Step 2: Convert to fraction form
    3,438.47/5,158.03 = 973.30/x
  3. Step 3: Cross multiply
    3,438.47x = 5,158.03 × 973.30
  4. Step 4: Simplify right side
    3,438.47x = 5,020,310.60
  5. Step 5: Solve for x
    x = 5,020,310.60/3,438.47
  6. Step 6: Final answer
    x = 1,460.04

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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.