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Finding the Fourth Proportional to 3,032.68, 4,547.48 and 1,387.82

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Solution

The fourth proportional to 3,032.68, 4,547.48 and 1,387.82 is: 2,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.68 : 4,547.48 = 1,387.82 : x
  2. Step 2: Convert to fraction form
    3,032.68/4,547.48 = 1,387.82/x
  3. Step 3: Cross multiply
    3,032.68x = 4,547.48 × 1,387.82
  4. Step 4: Simplify right side
    3,032.68x = 6,311,087.58
  5. Step 5: Solve for x
    x = 6,311,087.58/3,032.68
  6. Step 6: Final answer
    x = 2,081.02

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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.