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Finding the Fourth Proportional to 3,585.61, 5,377.61 and 1,507.96

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Solution

The fourth proportional to 3,585.61, 5,377.61 and 1,507.96 is: 2,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.61 : 5,377.61 = 1,507.96 : x
  2. Step 2: Convert to fraction form
    3,585.61/5,377.61 = 1,507.96/x
  3. Step 3: Cross multiply
    3,585.61x = 5,377.61 × 1,507.96
  4. Step 4: Simplify right side
    3,585.61x = 8,109,220.78
  5. Step 5: Solve for x
    x = 8,109,220.78/3,585.61
  6. Step 6: Final answer
    x = 2,261.60

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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.