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Finding the Fourth Proportional to 4,459.92, 6,686.28 and 1,864.80

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Solution

The fourth proportional to 4,459.92, 6,686.28 and 1,864.80 is: 2,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.92 : 6,686.28 = 1,864.80 : x
  2. Step 2: Convert to fraction form
    4,459.92/6,686.28 = 1,864.80/x
  3. Step 3: Cross multiply
    4,459.92x = 6,686.28 × 1,864.80
  4. Step 4: Simplify right side
    4,459.92x = 12,468,574.94
  5. Step 5: Solve for x
    x = 12,468,574.94/4,459.92
  6. Step 6: Final answer
    x = 2,795.69

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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.