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Finding the Fourth Proportional to 5,182.95, 7,802.42 and 4,723.68

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Solution

The fourth proportional to 5,182.95, 7,802.42 and 4,723.68 is: 7,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.95 : 7,802.42 = 4,723.68 : x
  2. Step 2: Convert to fraction form
    5,182.95/7,802.42 = 4,723.68/x
  3. Step 3: Cross multiply
    5,182.95x = 7,802.42 × 4,723.68
  4. Step 4: Simplify right side
    5,182.95x = 36,856,147.11
  5. Step 5: Solve for x
    x = 36,856,147.11/5,182.95
  6. Step 6: Final answer
    x = 7,111.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.