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Finding the Fourth Proportional to 3,663.86, 5,056.29 and 2,602.76

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Solution

The fourth proportional to 3,663.86, 5,056.29 and 2,602.76 is: 3,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.86 : 5,056.29 = 2,602.76 : x
  2. Step 2: Convert to fraction form
    3,663.86/5,056.29 = 2,602.76/x
  3. Step 3: Cross multiply
    3,663.86x = 5,056.29 × 2,602.76
  4. Step 4: Simplify right side
    3,663.86x = 13,160,284.08
  5. Step 5: Solve for x
    x = 13,160,284.08/3,663.86
  6. Step 6: Final answer
    x = 3,591.92

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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.