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Finding the Fourth Proportional to 3,497.60, 5,246.40 and 1,648.72

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Solution

The fourth proportional to 3,497.60, 5,246.40 and 1,648.72 is: 2,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.60 : 5,246.40 = 1,648.72 : x
  2. Step 2: Convert to fraction form
    3,497.60/5,246.40 = 1,648.72/x
  3. Step 3: Cross multiply
    3,497.60x = 5,246.40 × 1,648.72
  4. Step 4: Simplify right side
    3,497.60x = 8,649,844.61
  5. Step 5: Solve for x
    x = 8,649,844.61/3,497.60
  6. Step 6: Final answer
    x = 2,473.08

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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.