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Finding the Fourth Proportional to 4,648.49, 6,972.38 and 1,528.59

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Solution

The fourth proportional to 4,648.49, 6,972.38 and 1,528.59 is: 2,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.49 : 6,972.38 = 1,528.59 : x
  2. Step 2: Convert to fraction form
    4,648.49/6,972.38 = 1,528.59/x
  3. Step 3: Cross multiply
    4,648.49x = 6,972.38 × 1,528.59
  4. Step 4: Simplify right side
    4,648.49x = 10,657,920.13
  5. Step 5: Solve for x
    x = 10,657,920.13/4,648.49
  6. Step 6: Final answer
    x = 2,292.77

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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.