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Finding the Fourth Proportional to 4,275.24, 5,903.90 and 4,042.28

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Solution

The fourth proportional to 4,275.24, 5,903.90 and 4,042.28 is: 5,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.24 : 5,903.90 = 4,042.28 : x
  2. Step 2: Convert to fraction form
    4,275.24/5,903.90 = 4,042.28/x
  3. Step 3: Cross multiply
    4,275.24x = 5,903.90 × 4,042.28
  4. Step 4: Simplify right side
    4,275.24x = 23,865,216.89
  5. Step 5: Solve for x
    x = 23,865,216.89/4,275.24
  6. Step 6: Final answer
    x = 5,582.19

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