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Finding the Fourth Proportional to 5,235.53, 7,854.62 and 1,537.88

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Solution

The fourth proportional to 5,235.53, 7,854.62 and 1,537.88 is: 2,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.53 : 7,854.62 = 1,537.88 : x
  2. Step 2: Convert to fraction form
    5,235.53/7,854.62 = 1,537.88/x
  3. Step 3: Cross multiply
    5,235.53x = 7,854.62 × 1,537.88
  4. Step 4: Simplify right side
    5,235.53x = 12,079,416.04
  5. Step 5: Solve for x
    x = 12,079,416.04/5,235.53
  6. Step 6: Final answer
    x = 2,307.20

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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.