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Finding the Fourth Proportional to 5,613.57, 7,750.06 and 4,990.84

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Solution

The fourth proportional to 5,613.57, 7,750.06 and 4,990.84 is: 6,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.57 : 7,750.06 = 4,990.84 : x
  2. Step 2: Convert to fraction form
    5,613.57/7,750.06 = 4,990.84/x
  3. Step 3: Cross multiply
    5,613.57x = 7,750.06 × 4,990.84
  4. Step 4: Simplify right side
    5,613.57x = 38,679,277.60
  5. Step 5: Solve for x
    x = 38,679,277.60/5,613.57
  6. Step 6: Final answer
    x = 6,890.32

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Why These Related Problems?

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