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Finding the Fourth Proportional to 3,698.10, 5,547.15 and 3,114.90

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Solution

The fourth proportional to 3,698.10, 5,547.15 and 3,114.90 is: 4,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.10 : 5,547.15 = 3,114.90 : x
  2. Step 2: Convert to fraction form
    3,698.10/5,547.15 = 3,114.90/x
  3. Step 3: Cross multiply
    3,698.10x = 5,547.15 × 3,114.90
  4. Step 4: Simplify right side
    3,698.10x = 17,278,817.54
  5. Step 5: Solve for x
    x = 17,278,817.54/3,698.10
  6. Step 6: Final answer
    x = 4,672.35

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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.