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Finding the Fourth Proportional to 3,875.59, 5,805.19 and 2,407.57

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Solution

The fourth proportional to 3,875.59, 5,805.19 and 2,407.57 is: 3,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.59 : 5,805.19 = 2,407.57 : x
  2. Step 2: Convert to fraction form
    3,875.59/5,805.19 = 2,407.57/x
  3. Step 3: Cross multiply
    3,875.59x = 5,805.19 × 2,407.57
  4. Step 4: Simplify right side
    3,875.59x = 13,976,360.22
  5. Step 5: Solve for x
    x = 13,976,360.22/3,875.59
  6. Step 6: Final answer
    x = 3,606.25

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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.