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Finding the Fourth Proportional to 3,422.57, 5,129.37 and 1,547.06

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Solution

The fourth proportional to 3,422.57, 5,129.37 and 1,547.06 is: 2,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.57 : 5,129.37 = 1,547.06 : x
  2. Step 2: Convert to fraction form
    3,422.57/5,129.37 = 1,547.06/x
  3. Step 3: Cross multiply
    3,422.57x = 5,129.37 × 1,547.06
  4. Step 4: Simplify right side
    3,422.57x = 7,935,417.51
  5. Step 5: Solve for x
    x = 7,935,417.51/3,422.57
  6. Step 6: Final answer
    x = 2,318.56

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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.