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Finding the Fourth Proportional to 5,248.16, 7,873.32 and 1,785.68

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Solution

The fourth proportional to 5,248.16, 7,873.32 and 1,785.68 is: 2,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.16 : 7,873.32 = 1,785.68 : x
  2. Step 2: Convert to fraction form
    5,248.16/7,873.32 = 1,785.68/x
  3. Step 3: Cross multiply
    5,248.16x = 7,873.32 × 1,785.68
  4. Step 4: Simplify right side
    5,248.16x = 14,059,230.06
  5. Step 5: Solve for x
    x = 14,059,230.06/5,248.16
  6. Step 6: Final answer
    x = 2,678.89

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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.