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Finding the Fourth Proportional to 5,752.95, 7,919.47 and 4,258.05

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Solution

The fourth proportional to 5,752.95, 7,919.47 and 4,258.05 is: 5,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.95 : 7,919.47 = 4,258.05 : x
  2. Step 2: Convert to fraction form
    5,752.95/7,919.47 = 4,258.05/x
  3. Step 3: Cross multiply
    5,752.95x = 7,919.47 × 4,258.05
  4. Step 4: Simplify right side
    5,752.95x = 33,721,499.23
  5. Step 5: Solve for x
    x = 33,721,499.23/5,752.95
  6. Step 6: Final answer
    x = 5,861.60

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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.