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Finding the Fourth Proportional to 5,700.12, 8,547.66 and 2,580

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Solution

The fourth proportional to 5,700.12, 8,547.66 and 2,580 is: 3,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.12 : 8,547.66 = 2,580 : x
  2. Step 2: Convert to fraction form
    5,700.12/8,547.66 = 2,580/x
  3. Step 3: Cross multiply
    5,700.12x = 8,547.66 × 2,580
  4. Step 4: Simplify right side
    5,700.12x = 22,052,962.80
  5. Step 5: Solve for x
    x = 22,052,962.80/5,700.12
  6. Step 6: Final answer
    x = 3,868.86

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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.