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Finding the Fourth Proportional to 5,822.59, 8,030.47 and 3,580.47

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Solution

The fourth proportional to 5,822.59, 8,030.47 and 3,580.47 is: 4,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.59 : 8,030.47 = 3,580.47 : x
  2. Step 2: Convert to fraction form
    5,822.59/8,030.47 = 3,580.47/x
  3. Step 3: Cross multiply
    5,822.59x = 8,030.47 × 3,580.47
  4. Step 4: Simplify right side
    5,822.59x = 28,752,856.92
  5. Step 5: Solve for x
    x = 28,752,856.92/5,822.59
  6. Step 6: Final answer
    x = 4,938.16

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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.