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Finding the Fourth Proportional to 3,585.66, 5,373.26 and 2,547.68

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Solution

The fourth proportional to 3,585.66, 5,373.26 and 2,547.68 is: 3,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.66 : 5,373.26 = 2,547.68 : x
  2. Step 2: Convert to fraction form
    3,585.66/5,373.26 = 2,547.68/x
  3. Step 3: Cross multiply
    3,585.66x = 5,373.26 × 2,547.68
  4. Step 4: Simplify right side
    3,585.66x = 13,689,307.43
  5. Step 5: Solve for x
    x = 13,689,307.43/3,585.66
  6. Step 6: Final answer
    x = 3,817.79

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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.