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Finding the Fourth Proportional to 6,595.86, 9,892.17 and 2,899.02

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Solution

The fourth proportional to 6,595.86, 9,892.17 and 2,899.02 is: 4,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.86 : 9,892.17 = 2,899.02 : x
  2. Step 2: Convert to fraction form
    6,595.86/9,892.17 = 2,899.02/x
  3. Step 3: Cross multiply
    6,595.86x = 9,892.17 × 2,899.02
  4. Step 4: Simplify right side
    6,595.86x = 28,677,598.67
  5. Step 5: Solve for x
    x = 28,677,598.67/6,595.86
  6. Step 6: Final answer
    x = 4,347.82

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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.