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Finding the Fourth Proportional to 5,256.29, 7,254.02 and 2,898.65

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Solution

The fourth proportional to 5,256.29, 7,254.02 and 2,898.65 is: 4,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.29 : 7,254.02 = 2,898.65 : x
  2. Step 2: Convert to fraction form
    5,256.29/7,254.02 = 2,898.65/x
  3. Step 3: Cross multiply
    5,256.29x = 7,254.02 × 2,898.65
  4. Step 4: Simplify right side
    5,256.29x = 21,026,865.07
  5. Step 5: Solve for x
    x = 21,026,865.07/5,256.29
  6. Step 6: Final answer
    x = 4,000.32

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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.