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Finding the Fourth Proportional to 4,764.95, 7,146.56 and 1,302.17

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Solution

The fourth proportional to 4,764.95, 7,146.56 and 1,302.17 is: 1,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.95 : 7,146.56 = 1,302.17 : x
  2. Step 2: Convert to fraction form
    4,764.95/7,146.56 = 1,302.17/x
  3. Step 3: Cross multiply
    4,764.95x = 7,146.56 × 1,302.17
  4. Step 4: Simplify right side
    4,764.95x = 9,306,029.52
  5. Step 5: Solve for x
    x = 9,306,029.52/4,764.95
  6. Step 6: Final answer
    x = 1,953.02

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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.