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Finding the Fourth Proportional to 4,437.93, 6,658.47 and 1,972.53

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Solution

The fourth proportional to 4,437.93, 6,658.47 and 1,972.53 is: 2,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437.93 : 6,658.47 = 1,972.53 : x
  2. Step 2: Convert to fraction form
    4,437.93/6,658.47 = 1,972.53/x
  3. Step 3: Cross multiply
    4,437.93x = 6,658.47 × 1,972.53
  4. Step 4: Simplify right side
    4,437.93x = 13,134,031.83
  5. Step 5: Solve for x
    x = 13,134,031.83/4,437.93
  6. Step 6: Final answer
    x = 2,959.50

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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.