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Finding the Fourth Proportional to 5,165.86, 7,130.02 and 3,397.63

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Solution

The fourth proportional to 5,165.86, 7,130.02 and 3,397.63 is: 4,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.86 : 7,130.02 = 3,397.63 : x
  2. Step 2: Convert to fraction form
    5,165.86/7,130.02 = 3,397.63/x
  3. Step 3: Cross multiply
    5,165.86x = 7,130.02 × 3,397.63
  4. Step 4: Simplify right side
    5,165.86x = 24,225,169.85
  5. Step 5: Solve for x
    x = 24,225,169.85/5,165.86
  6. Step 6: Final answer
    x = 4,689.47

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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.