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Finding the Fourth Proportional to 5,677.64, 8,513.58 and 2,597

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Solution

The fourth proportional to 5,677.64, 8,513.58 and 2,597 is: 3,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.64 : 8,513.58 = 2,597 : x
  2. Step 2: Convert to fraction form
    5,677.64/8,513.58 = 2,597/x
  3. Step 3: Cross multiply
    5,677.64x = 8,513.58 × 2,597
  4. Step 4: Simplify right side
    5,677.64x = 22,109,767.26
  5. Step 5: Solve for x
    x = 22,109,767.26/5,677.64
  6. Step 6: Final answer
    x = 3,894.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.