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Finding the Fourth Proportional to 2,874.04, 4,314.08 and 2,547.07

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Solution

The fourth proportional to 2,874.04, 4,314.08 and 2,547.07 is: 3,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.04 : 4,314.08 = 2,547.07 : x
  2. Step 2: Convert to fraction form
    2,874.04/4,314.08 = 2,547.07/x
  3. Step 3: Cross multiply
    2,874.04x = 4,314.08 × 2,547.07
  4. Step 4: Simplify right side
    2,874.04x = 10,988,263.75
  5. Step 5: Solve for x
    x = 10,988,263.75/2,874.04
  6. Step 6: Final answer
    x = 3,823.28

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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.