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Finding the Fourth Proportional to 4,686.48, 7,014.98 and 2,575.20

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Solution

The fourth proportional to 4,686.48, 7,014.98 and 2,575.20 is: 3,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.48 : 7,014.98 = 2,575.20 : x
  2. Step 2: Convert to fraction form
    4,686.48/7,014.98 = 2,575.20/x
  3. Step 3: Cross multiply
    4,686.48x = 7,014.98 × 2,575.20
  4. Step 4: Simplify right side
    4,686.48x = 18,064,976.50
  5. Step 5: Solve for x
    x = 18,064,976.50/4,686.48
  6. Step 6: Final answer
    x = 3,854.70

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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.