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Finding the Fourth Proportional to 5,708.83, 7,875.68 and 3,349.91

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Solution

The fourth proportional to 5,708.83, 7,875.68 and 3,349.91 is: 4,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.83 : 7,875.68 = 3,349.91 : x
  2. Step 2: Convert to fraction form
    5,708.83/7,875.68 = 3,349.91/x
  3. Step 3: Cross multiply
    5,708.83x = 7,875.68 × 3,349.91
  4. Step 4: Simplify right side
    5,708.83x = 26,382,819.19
  5. Step 5: Solve for x
    x = 26,382,819.19/5,708.83
  6. Step 6: Final answer
    x = 4,621.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.