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Finding the Fourth Proportional to 4,013.70, 6,016.29 and 1,547.46

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Solution

The fourth proportional to 4,013.70, 6,016.29 and 1,547.46 is: 2,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.70 : 6,016.29 = 1,547.46 : x
  2. Step 2: Convert to fraction form
    4,013.70/6,016.29 = 1,547.46/x
  3. Step 3: Cross multiply
    4,013.70x = 6,016.29 × 1,547.46
  4. Step 4: Simplify right side
    4,013.70x = 9,309,968.12
  5. Step 5: Solve for x
    x = 9,309,968.12/4,013.70
  6. Step 6: Final answer
    x = 2,319.55

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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.