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Finding the Fourth Proportional to 3,459.66, 5,182.80 and 2,897.69

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Solution

The fourth proportional to 3,459.66, 5,182.80 and 2,897.69 is: 4,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.66 : 5,182.80 = 2,897.69 : x
  2. Step 2: Convert to fraction form
    3,459.66/5,182.80 = 2,897.69/x
  3. Step 3: Cross multiply
    3,459.66x = 5,182.80 × 2,897.69
  4. Step 4: Simplify right side
    3,459.66x = 15,018,149.82
  5. Step 5: Solve for x
    x = 15,018,149.82/3,459.66
  6. Step 6: Final answer
    x = 4,340.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.