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Finding the Fourth Proportional to 3,547.05, 5,319.96 and 949.38

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Solution

The fourth proportional to 3,547.05, 5,319.96 and 949.38 is: 1,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.05 : 5,319.96 = 949.38 : x
  2. Step 2: Convert to fraction form
    3,547.05/5,319.96 = 949.38/x
  3. Step 3: Cross multiply
    3,547.05x = 5,319.96 × 949.38
  4. Step 4: Simplify right side
    3,547.05x = 5,050,663.62
  5. Step 5: Solve for x
    x = 5,050,663.62/3,547.05
  6. Step 6: Final answer
    x = 1,423.91

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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.