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Finding the Fourth Proportional to 3,437.17, 5,152.64 and 1,244.35

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Solution

The fourth proportional to 3,437.17, 5,152.64 and 1,244.35 is: 1,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.17 : 5,152.64 = 1,244.35 : x
  2. Step 2: Convert to fraction form
    3,437.17/5,152.64 = 1,244.35/x
  3. Step 3: Cross multiply
    3,437.17x = 5,152.64 × 1,244.35
  4. Step 4: Simplify right side
    3,437.17x = 6,411,655.60
  5. Step 5: Solve for x
    x = 6,411,655.60/3,437.17
  6. Step 6: Final answer
    x = 1,865.39

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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.