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Finding the Fourth Proportional to 4,898.52, 6,758.90 and 2,909.74

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Solution

The fourth proportional to 4,898.52, 6,758.90 and 2,909.74 is: 4,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.52 : 6,758.90 = 2,909.74 : x
  2. Step 2: Convert to fraction form
    4,898.52/6,758.90 = 2,909.74/x
  3. Step 3: Cross multiply
    4,898.52x = 6,758.90 × 2,909.74
  4. Step 4: Simplify right side
    4,898.52x = 19,666,627.14
  5. Step 5: Solve for x
    x = 19,666,627.14/4,898.52
  6. Step 6: Final answer
    x = 4,014.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.