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Finding the Fourth Proportional to 5,764.68, 8,585.82 and 5,405.04

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Solution

The fourth proportional to 5,764.68, 8,585.82 and 5,405.04 is: 8,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.68 : 8,585.82 = 5,405.04 : x
  2. Step 2: Convert to fraction form
    5,764.68/8,585.82 = 5,405.04/x
  3. Step 3: Cross multiply
    5,764.68x = 8,585.82 × 5,405.04
  4. Step 4: Simplify right side
    5,764.68x = 46,406,700.53
  5. Step 5: Solve for x
    x = 46,406,700.53/5,764.68
  6. Step 6: Final answer
    x = 8,050.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.