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Finding the Fourth Proportional to 6,549.95, 9,038.61 and 3,565.77

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Solution

The fourth proportional to 6,549.95, 9,038.61 and 3,565.77 is: 4,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.95 : 9,038.61 = 3,565.77 : x
  2. Step 2: Convert to fraction form
    6,549.95/9,038.61 = 3,565.77/x
  3. Step 3: Cross multiply
    6,549.95x = 9,038.61 × 3,565.77
  4. Step 4: Simplify right side
    6,549.95x = 32,229,604.38
  5. Step 5: Solve for x
    x = 32,229,604.38/6,549.95
  6. Step 6: Final answer
    x = 4,920.59

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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.