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Finding the Fourth Proportional to 4,148.59, 5,725.02 and 2,260.15

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Solution

The fourth proportional to 4,148.59, 5,725.02 and 2,260.15 is: 3,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.59 : 5,725.02 = 2,260.15 : x
  2. Step 2: Convert to fraction form
    4,148.59/5,725.02 = 2,260.15/x
  3. Step 3: Cross multiply
    4,148.59x = 5,725.02 × 2,260.15
  4. Step 4: Simplify right side
    4,148.59x = 12,939,403.95
  5. Step 5: Solve for x
    x = 12,939,403.95/4,148.59
  6. Step 6: Final answer
    x = 3,118.99

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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.