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Finding the Fourth Proportional to 5,475.40, 8,203.65 and 2,547.70

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Solution

The fourth proportional to 5,475.40, 8,203.65 and 2,547.70 is: 3,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.40 : 8,203.65 = 2,547.70 : x
  2. Step 2: Convert to fraction form
    5,475.40/8,203.65 = 2,547.70/x
  3. Step 3: Cross multiply
    5,475.40x = 8,203.65 × 2,547.70
  4. Step 4: Simplify right side
    5,475.40x = 20,900,439.11
  5. Step 5: Solve for x
    x = 20,900,439.11/5,475.40
  6. Step 6: Final answer
    x = 3,817.15

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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.