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Finding the Fourth Proportional to 3,801.58, 5,702.77 and 1,610.53

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Solution

The fourth proportional to 3,801.58, 5,702.77 and 1,610.53 is: 2,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.58 : 5,702.77 = 1,610.53 : x
  2. Step 2: Convert to fraction form
    3,801.58/5,702.77 = 1,610.53/x
  3. Step 3: Cross multiply
    3,801.58x = 5,702.77 × 1,610.53
  4. Step 4: Simplify right side
    3,801.58x = 9,184,482.17
  5. Step 5: Solve for x
    x = 9,184,482.17/3,801.58
  6. Step 6: Final answer
    x = 2,415.96

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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.