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Finding the Fourth Proportional to 5,065.68, 7,597.28 and 1,602.92

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Solution

The fourth proportional to 5,065.68, 7,597.28 and 1,602.92 is: 2,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.68 : 7,597.28 = 1,602.92 : x
  2. Step 2: Convert to fraction form
    5,065.68/7,597.28 = 1,602.92/x
  3. Step 3: Cross multiply
    5,065.68x = 7,597.28 × 1,602.92
  4. Step 4: Simplify right side
    5,065.68x = 12,177,832.06
  5. Step 5: Solve for x
    x = 12,177,832.06/5,065.68
  6. Step 6: Final answer
    x = 2,403.99

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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.