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Finding the Fourth Proportional to 6,423.68, 8,862 and 4,328.48

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Solution

The fourth proportional to 6,423.68, 8,862 and 4,328.48 is: 5,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.68 : 8,862 = 4,328.48 : x
  2. Step 2: Convert to fraction form
    6,423.68/8,862 = 4,328.48/x
  3. Step 3: Cross multiply
    6,423.68x = 8,862 × 4,328.48
  4. Step 4: Simplify right side
    6,423.68x = 38,358,989.76
  5. Step 5: Solve for x
    x = 38,358,989.76/6,423.68
  6. Step 6: Final answer
    x = 5,971.50

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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.