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Finding the Fourth Proportional to 4,117.96, 5,681.95 and 2,349.24

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Solution

The fourth proportional to 4,117.96, 5,681.95 and 2,349.24 is: 3,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.96 : 5,681.95 = 2,349.24 : x
  2. Step 2: Convert to fraction form
    4,117.96/5,681.95 = 2,349.24/x
  3. Step 3: Cross multiply
    4,117.96x = 5,681.95 × 2,349.24
  4. Step 4: Simplify right side
    4,117.96x = 13,348,264.22
  5. Step 5: Solve for x
    x = 13,348,264.22/4,117.96
  6. Step 6: Final answer
    x = 3,241.47

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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.