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Finding the Fourth Proportional to 3,498.59, 5,246.30 and 1,032.54

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Solution

The fourth proportional to 3,498.59, 5,246.30 and 1,032.54 is: 1,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.59 : 5,246.30 = 1,032.54 : x
  2. Step 2: Convert to fraction form
    3,498.59/5,246.30 = 1,032.54/x
  3. Step 3: Cross multiply
    3,498.59x = 5,246.30 × 1,032.54
  4. Step 4: Simplify right side
    3,498.59x = 5,417,009.44
  5. Step 5: Solve for x
    x = 5,417,009.44/3,498.59
  6. Step 6: Final answer
    x = 1,548.34

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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.