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Finding the Fourth Proportional to 4,689.98, 6,472.15 and 2,565.51

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Solution

The fourth proportional to 4,689.98, 6,472.15 and 2,565.51 is: 3,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.98 : 6,472.15 = 2,565.51 : x
  2. Step 2: Convert to fraction form
    4,689.98/6,472.15 = 2,565.51/x
  3. Step 3: Cross multiply
    4,689.98x = 6,472.15 × 2,565.51
  4. Step 4: Simplify right side
    4,689.98x = 16,604,376.60
  5. Step 5: Solve for x
    x = 16,604,376.60/4,689.98
  6. Step 6: Final answer
    x = 3,540.40

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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.