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Finding the Fourth Proportional to 4,468.52, 6,705.57 and 1,871.48

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Solution

The fourth proportional to 4,468.52, 6,705.57 and 1,871.48 is: 2,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.52 : 6,705.57 = 1,871.48 : x
  2. Step 2: Convert to fraction form
    4,468.52/6,705.57 = 1,871.48/x
  3. Step 3: Cross multiply
    4,468.52x = 6,705.57 × 1,871.48
  4. Step 4: Simplify right side
    4,468.52x = 12,549,340.14
  5. Step 5: Solve for x
    x = 12,549,340.14/4,468.52
  6. Step 6: Final answer
    x = 2,808.39

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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.