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Finding the Fourth Proportional to 5,642.49, 8,458.23 and 2,356.52

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Solution

The fourth proportional to 5,642.49, 8,458.23 and 2,356.52 is: 3,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.49 : 8,458.23 = 2,356.52 : x
  2. Step 2: Convert to fraction form
    5,642.49/8,458.23 = 2,356.52/x
  3. Step 3: Cross multiply
    5,642.49x = 8,458.23 × 2,356.52
  4. Step 4: Simplify right side
    5,642.49x = 19,931,988.16
  5. Step 5: Solve for x
    x = 19,931,988.16/5,642.49
  6. Step 6: Final answer
    x = 3,532.48

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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.