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Finding the Fourth Proportional to 5,460.76, 8,191.05 and 1,565.08

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Solution

The fourth proportional to 5,460.76, 8,191.05 and 1,565.08 is: 2,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.76 : 8,191.05 = 1,565.08 : x
  2. Step 2: Convert to fraction form
    5,460.76/8,191.05 = 1,565.08/x
  3. Step 3: Cross multiply
    5,460.76x = 8,191.05 × 1,565.08
  4. Step 4: Simplify right side
    5,460.76x = 12,819,648.53
  5. Step 5: Solve for x
    x = 12,819,648.53/5,460.76
  6. Step 6: Final answer
    x = 2,347.59

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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.