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Finding the Fourth Proportional to 3,438.54, 5,158.08 and 973.40

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Solution

The fourth proportional to 3,438.54, 5,158.08 and 973.40 is: 1,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.54 : 5,158.08 = 973.40 : x
  2. Step 2: Convert to fraction form
    3,438.54/5,158.08 = 973.40/x
  3. Step 3: Cross multiply
    3,438.54x = 5,158.08 × 973.40
  4. Step 4: Simplify right side
    3,438.54x = 5,020,849.28
  5. Step 5: Solve for x
    x = 5,020,849.28/3,438.54
  6. Step 6: Final answer
    x = 1,460.17

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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.