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Finding the Fourth Proportional to 3,407.47, 5,111.51 and 1,534.55

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Solution

The fourth proportional to 3,407.47, 5,111.51 and 1,534.55 is: 2,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.47 : 5,111.51 = 1,534.55 : x
  2. Step 2: Convert to fraction form
    3,407.47/5,111.51 = 1,534.55/x
  3. Step 3: Cross multiply
    3,407.47x = 5,111.51 × 1,534.55
  4. Step 4: Simplify right side
    3,407.47x = 7,843,834.44
  5. Step 5: Solve for x
    x = 7,843,834.44/3,407.47
  6. Step 6: Final answer
    x = 2,301.95

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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.