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Finding the Fourth Proportional to 4,148.68, 5,724.84 and 2,285.68

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Solution

The fourth proportional to 4,148.68, 5,724.84 and 2,285.68 is: 3,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.68 : 5,724.84 = 2,285.68 : x
  2. Step 2: Convert to fraction form
    4,148.68/5,724.84 = 2,285.68/x
  3. Step 3: Cross multiply
    4,148.68x = 5,724.84 × 2,285.68
  4. Step 4: Simplify right side
    4,148.68x = 13,085,152.29
  5. Step 5: Solve for x
    x = 13,085,152.29/4,148.68
  6. Step 6: Final answer
    x = 3,154.05

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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.