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Finding the Fourth Proportional to 5,737.65, 7,909.58 and 4,056.09

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Solution

The fourth proportional to 5,737.65, 7,909.58 and 4,056.09 is: 5,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.65 : 7,909.58 = 4,056.09 : x
  2. Step 2: Convert to fraction form
    5,737.65/7,909.58 = 4,056.09/x
  3. Step 3: Cross multiply
    5,737.65x = 7,909.58 × 4,056.09
  4. Step 4: Simplify right side
    5,737.65x = 32,081,948.06
  5. Step 5: Solve for x
    x = 32,081,948.06/5,737.65
  6. Step 6: Final answer
    x = 5,591.48

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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.