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Finding the Fourth Proportional to 3,547.18, 5,321 and 1,206.53

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Solution

The fourth proportional to 3,547.18, 5,321 and 1,206.53 is: 1,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.18 : 5,321 = 1,206.53 : x
  2. Step 2: Convert to fraction form
    3,547.18/5,321 = 1,206.53/x
  3. Step 3: Cross multiply
    3,547.18x = 5,321 × 1,206.53
  4. Step 4: Simplify right side
    3,547.18x = 6,419,946.13
  5. Step 5: Solve for x
    x = 6,419,946.13/3,547.18
  6. Step 6: Final answer
    x = 1,809.87

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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.