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Finding the Fourth Proportional to 4,722.40, 6,510.16 and 3,149.92

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Solution

The fourth proportional to 4,722.40, 6,510.16 and 3,149.92 is: 4,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.40 : 6,510.16 = 3,149.92 : x
  2. Step 2: Convert to fraction form
    4,722.40/6,510.16 = 3,149.92/x
  3. Step 3: Cross multiply
    4,722.40x = 6,510.16 × 3,149.92
  4. Step 4: Simplify right side
    4,722.40x = 20,506,483.19
  5. Step 5: Solve for x
    x = 20,506,483.19/4,722.40
  6. Step 6: Final answer
    x = 4,342.39

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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.