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Finding the Fourth Proportional to 4,775.32, 7,161.90 and 1,854.28

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Solution

The fourth proportional to 4,775.32, 7,161.90 and 1,854.28 is: 2,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.32 : 7,161.90 = 1,854.28 : x
  2. Step 2: Convert to fraction form
    4,775.32/7,161.90 = 1,854.28/x
  3. Step 3: Cross multiply
    4,775.32x = 7,161.90 × 1,854.28
  4. Step 4: Simplify right side
    4,775.32x = 13,280,167.93
  5. Step 5: Solve for x
    x = 13,280,167.93/4,775.32
  6. Step 6: Final answer
    x = 2,781.00

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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.