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Finding the Fourth Proportional to 6,597.38, 9,102.92 and 4,045.68

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Solution

The fourth proportional to 6,597.38, 9,102.92 and 4,045.68 is: 5,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.38 : 9,102.92 = 4,045.68 : x
  2. Step 2: Convert to fraction form
    6,597.38/9,102.92 = 4,045.68/x
  3. Step 3: Cross multiply
    6,597.38x = 9,102.92 × 4,045.68
  4. Step 4: Simplify right side
    6,597.38x = 36,827,501.39
  5. Step 5: Solve for x
    x = 36,827,501.39/6,597.38
  6. Step 6: Final answer
    x = 5,582.14

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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.