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Finding the Fourth Proportional to 6,398.03, 8,829.15 and 3,565.40

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Solution

The fourth proportional to 6,398.03, 8,829.15 and 3,565.40 is: 4,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.03 : 8,829.15 = 3,565.40 : x
  2. Step 2: Convert to fraction form
    6,398.03/8,829.15 = 3,565.40/x
  3. Step 3: Cross multiply
    6,398.03x = 8,829.15 × 3,565.40
  4. Step 4: Simplify right side
    6,398.03x = 31,479,407.26
  5. Step 5: Solve for x
    x = 31,479,407.26/6,398.03
  6. Step 6: Final answer
    x = 4,920.17

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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.