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Finding the Fourth Proportional to 3,357.76, 5,036.48 and 1,017.66

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Solution

The fourth proportional to 3,357.76, 5,036.48 and 1,017.66 is: 1,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.76 : 5,036.48 = 1,017.66 : x
  2. Step 2: Convert to fraction form
    3,357.76/5,036.48 = 1,017.66/x
  3. Step 3: Cross multiply
    3,357.76x = 5,036.48 × 1,017.66
  4. Step 4: Simplify right side
    3,357.76x = 5,125,424.24
  5. Step 5: Solve for x
    x = 5,125,424.24/3,357.76
  6. Step 6: Final answer
    x = 1,526.44

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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.