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Finding the Fourth Proportional to 3,417.48, 5,126.42 and 1,077.56

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Solution

The fourth proportional to 3,417.48, 5,126.42 and 1,077.56 is: 1,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.48 : 5,126.42 = 1,077.56 : x
  2. Step 2: Convert to fraction form
    3,417.48/5,126.42 = 1,077.56/x
  3. Step 3: Cross multiply
    3,417.48x = 5,126.42 × 1,077.56
  4. Step 4: Simplify right side
    3,417.48x = 5,523,994.12
  5. Step 5: Solve for x
    x = 5,523,994.12/3,417.48
  6. Step 6: Final answer
    x = 1,616.40

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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.