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Finding the Fourth Proportional to 4,482.52, 6,712.80 and 3,697.72

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Solution

The fourth proportional to 4,482.52, 6,712.80 and 3,697.72 is: 5,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.52 : 6,712.80 = 3,697.72 : x
  2. Step 2: Convert to fraction form
    4,482.52/6,712.80 = 3,697.72/x
  3. Step 3: Cross multiply
    4,482.52x = 6,712.80 × 3,697.72
  4. Step 4: Simplify right side
    4,482.52x = 24,822,054.82
  5. Step 5: Solve for x
    x = 24,822,054.82/4,482.52
  6. Step 6: Final answer
    x = 5,537.52

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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.