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Finding the Fourth Proportional to 4,700.38, 6,488.76 and 2,934.58

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Solution

The fourth proportional to 4,700.38, 6,488.76 and 2,934.58 is: 4,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.38 : 6,488.76 = 2,934.58 : x
  2. Step 2: Convert to fraction form
    4,700.38/6,488.76 = 2,934.58/x
  3. Step 3: Cross multiply
    4,700.38x = 6,488.76 × 2,934.58
  4. Step 4: Simplify right side
    4,700.38x = 19,041,785.32
  5. Step 5: Solve for x
    x = 19,041,785.32/4,700.38
  6. Step 6: Final answer
    x = 4,051.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.