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Finding the Fourth Proportional to 4,469.65, 6,705.23 and 1,547.17

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Solution

The fourth proportional to 4,469.65, 6,705.23 and 1,547.17 is: 2,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.65 : 6,705.23 = 1,547.17 : x
  2. Step 2: Convert to fraction form
    4,469.65/6,705.23 = 1,547.17/x
  3. Step 3: Cross multiply
    4,469.65x = 6,705.23 × 1,547.17
  4. Step 4: Simplify right side
    4,469.65x = 10,374,130.70
  5. Step 5: Solve for x
    x = 10,374,130.70/4,469.65
  6. Step 6: Final answer
    x = 2,321.02

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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.