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Finding the Fourth Proportional to 4,454.05, 6,681.68 and 1,856.38

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Solution

The fourth proportional to 4,454.05, 6,681.68 and 1,856.38 is: 2,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.05 : 6,681.68 = 1,856.38 : x
  2. Step 2: Convert to fraction form
    4,454.05/6,681.68 = 1,856.38/x
  3. Step 3: Cross multiply
    4,454.05x = 6,681.68 × 1,856.38
  4. Step 4: Simplify right side
    4,454.05x = 12,403,737.12
  5. Step 5: Solve for x
    x = 12,403,737.12/4,454.05
  6. Step 6: Final answer
    x = 2,784.82

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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.