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Finding the Fourth Proportional to 5,026.70, 7,543.51 and 2,256.47

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Solution

The fourth proportional to 5,026.70, 7,543.51 and 2,256.47 is: 3,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.70 : 7,543.51 = 2,256.47 : x
  2. Step 2: Convert to fraction form
    5,026.70/7,543.51 = 2,256.47/x
  3. Step 3: Cross multiply
    5,026.70x = 7,543.51 × 2,256.47
  4. Step 4: Simplify right side
    5,026.70x = 17,021,704.01
  5. Step 5: Solve for x
    x = 17,021,704.01/5,026.70
  6. Step 6: Final answer
    x = 3,386.26

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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.