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Finding the Fourth Proportional to 5,237.76, 7,854.16 and 3,047.08

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Solution

The fourth proportional to 5,237.76, 7,854.16 and 3,047.08 is: 4,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.76 : 7,854.16 = 3,047.08 : x
  2. Step 2: Convert to fraction form
    5,237.76/7,854.16 = 3,047.08/x
  3. Step 3: Cross multiply
    5,237.76x = 7,854.16 × 3,047.08
  4. Step 4: Simplify right side
    5,237.76x = 23,932,253.85
  5. Step 5: Solve for x
    x = 23,932,253.85/5,237.76
  6. Step 6: Final answer
    x = 4,569.18

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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.