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Finding the Fourth Proportional to 4,488.14, 6,733.29 and 1,526.53

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Solution

The fourth proportional to 4,488.14, 6,733.29 and 1,526.53 is: 2,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.14 : 6,733.29 = 1,526.53 : x
  2. Step 2: Convert to fraction form
    4,488.14/6,733.29 = 1,526.53/x
  3. Step 3: Cross multiply
    4,488.14x = 6,733.29 × 1,526.53
  4. Step 4: Simplify right side
    4,488.14x = 10,278,569.18
  5. Step 5: Solve for x
    x = 10,278,569.18/4,488.14
  6. Step 6: Final answer
    x = 2,290.16

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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.