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Finding the Fourth Proportional to 4,278.17, 6,417.17 and 1,356.47

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Solution

The fourth proportional to 4,278.17, 6,417.17 and 1,356.47 is: 2,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.17 : 6,417.17 = 1,356.47 : x
  2. Step 2: Convert to fraction form
    4,278.17/6,417.17 = 1,356.47/x
  3. Step 3: Cross multiply
    4,278.17x = 6,417.17 × 1,356.47
  4. Step 4: Simplify right side
    4,278.17x = 8,704,714.55
  5. Step 5: Solve for x
    x = 8,704,714.55/4,278.17
  6. Step 6: Final answer
    x = 2,034.68

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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.