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Finding the Fourth Proportional to 3,041.72, 4,565.14 and 2,849.72

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Solution

The fourth proportional to 3,041.72, 4,565.14 and 2,849.72 is: 4,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.72 : 4,565.14 = 2,849.72 : x
  2. Step 2: Convert to fraction form
    3,041.72/4,565.14 = 2,849.72/x
  3. Step 3: Cross multiply
    3,041.72x = 4,565.14 × 2,849.72
  4. Step 4: Simplify right side
    3,041.72x = 13,009,370.76
  5. Step 5: Solve for x
    x = 13,009,370.76/3,041.72
  6. Step 6: Final answer
    x = 4,276.98

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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.