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Finding the Fourth Proportional to 5,235.95, 7,854.64 and 1,537.66

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Solution

The fourth proportional to 5,235.95, 7,854.64 and 1,537.66 is: 2,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.95 : 7,854.64 = 1,537.66 : x
  2. Step 2: Convert to fraction form
    5,235.95/7,854.64 = 1,537.66/x
  3. Step 3: Cross multiply
    5,235.95x = 7,854.64 × 1,537.66
  4. Step 4: Simplify right side
    5,235.95x = 12,077,765.74
  5. Step 5: Solve for x
    x = 12,077,765.74/5,235.95
  6. Step 6: Final answer
    x = 2,306.70

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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.