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Finding the Fourth Proportional to 3,821.46, 5,275.47 and 2,407.20

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Solution

The fourth proportional to 3,821.46, 5,275.47 and 2,407.20 is: 3,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.46 : 5,275.47 = 2,407.20 : x
  2. Step 2: Convert to fraction form
    3,821.46/5,275.47 = 2,407.20/x
  3. Step 3: Cross multiply
    3,821.46x = 5,275.47 × 2,407.20
  4. Step 4: Simplify right side
    3,821.46x = 12,699,111.38
  5. Step 5: Solve for x
    x = 12,699,111.38/3,821.46
  6. Step 6: Final answer
    x = 3,323.10

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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.