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Finding the Fourth Proportional to 5,095.96, 7,645.14 and 1,585.80

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Solution

The fourth proportional to 5,095.96, 7,645.14 and 1,585.80 is: 2,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.96 : 7,645.14 = 1,585.80 : x
  2. Step 2: Convert to fraction form
    5,095.96/7,645.14 = 1,585.80/x
  3. Step 3: Cross multiply
    5,095.96x = 7,645.14 × 1,585.80
  4. Step 4: Simplify right side
    5,095.96x = 12,123,663.01
  5. Step 5: Solve for x
    x = 12,123,663.01/5,095.96
  6. Step 6: Final answer
    x = 2,379.07

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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.