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Finding the Fourth Proportional to 4,657.54, 6,987.00 and 1,537.88

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Solution

The fourth proportional to 4,657.54, 6,987.00 and 1,537.88 is: 2,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.54 : 6,987.00 = 1,537.88 : x
  2. Step 2: Convert to fraction form
    4,657.54/6,987.00 = 1,537.88/x
  3. Step 3: Cross multiply
    4,657.54x = 6,987.00 × 1,537.88
  4. Step 4: Simplify right side
    4,657.54x = 10,745,138.39
  5. Step 5: Solve for x
    x = 10,745,138.39/4,657.54
  6. Step 6: Final answer
    x = 2,307.04

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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.