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Finding the Fourth Proportional to 4,200.78, 5,795.10 and 2,432.10

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Solution

The fourth proportional to 4,200.78, 5,795.10 and 2,432.10 is: 3,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.78 : 5,795.10 = 2,432.10 : x
  2. Step 2: Convert to fraction form
    4,200.78/5,795.10 = 2,432.10/x
  3. Step 3: Cross multiply
    4,200.78x = 5,795.10 × 2,432.10
  4. Step 4: Simplify right side
    4,200.78x = 14,094,262.71
  5. Step 5: Solve for x
    x = 14,094,262.71/4,200.78
  6. Step 6: Final answer
    x = 3,355.15

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1.5x scale

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.