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Finding the Fourth Proportional to 4,622.49, 6,934.61 and 1,502.24

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Solution

The fourth proportional to 4,622.49, 6,934.61 and 1,502.24 is: 2,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.49 : 6,934.61 = 1,502.24 : x
  2. Step 2: Convert to fraction form
    4,622.49/6,934.61 = 1,502.24/x
  3. Step 3: Cross multiply
    4,622.49x = 6,934.61 × 1,502.24
  4. Step 4: Simplify right side
    4,622.49x = 10,417,417.61
  5. Step 5: Solve for x
    x = 10,417,417.61/4,622.49
  6. Step 6: Final answer
    x = 2,253.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.