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Finding the Fourth Proportional to 3,417.04, 5,127.54 and 1,442.54

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Solution

The fourth proportional to 3,417.04, 5,127.54 and 1,442.54 is: 2,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.04 : 5,127.54 = 1,442.54 : x
  2. Step 2: Convert to fraction form
    3,417.04/5,127.54 = 1,442.54/x
  3. Step 3: Cross multiply
    3,417.04x = 5,127.54 × 1,442.54
  4. Step 4: Simplify right side
    3,417.04x = 7,396,681.55
  5. Step 5: Solve for x
    x = 7,396,681.55/3,417.04
  6. Step 6: Final answer
    x = 2,164.65

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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.