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Finding the Fourth Proportional to 5,657.52, 8,484.72 and 4,009.20

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Solution

The fourth proportional to 5,657.52, 8,484.72 and 4,009.20 is: 6,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.52 : 8,484.72 = 4,009.20 : x
  2. Step 2: Convert to fraction form
    5,657.52/8,484.72 = 4,009.20/x
  3. Step 3: Cross multiply
    5,657.52x = 8,484.72 × 4,009.20
  4. Step 4: Simplify right side
    5,657.52x = 34,016,939.42
  5. Step 5: Solve for x
    x = 34,016,939.42/5,657.52
  6. Step 6: Final answer
    x = 6,012.69

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1.5x scale

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.