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Finding the Fourth Proportional to 3,248.95, 4,873.60 and 1,400.89

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Solution

The fourth proportional to 3,248.95, 4,873.60 and 1,400.89 is: 2,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.95 : 4,873.60 = 1,400.89 : x
  2. Step 2: Convert to fraction form
    3,248.95/4,873.60 = 1,400.89/x
  3. Step 3: Cross multiply
    3,248.95x = 4,873.60 × 1,400.89
  4. Step 4: Simplify right side
    3,248.95x = 6,827,377.50
  5. Step 5: Solve for x
    x = 6,827,377.50/3,248.95
  6. Step 6: Final answer
    x = 2,101.41

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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.