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Finding the Fourth Proportional to 4,343.61, 5,994.16 and 2,354.15

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Solution

The fourth proportional to 4,343.61, 5,994.16 and 2,354.15 is: 3,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.61 : 5,994.16 = 2,354.15 : x
  2. Step 2: Convert to fraction form
    4,343.61/5,994.16 = 2,354.15/x
  3. Step 3: Cross multiply
    4,343.61x = 5,994.16 × 2,354.15
  4. Step 4: Simplify right side
    4,343.61x = 14,111,151.76
  5. Step 5: Solve for x
    x = 14,111,151.76/4,343.61
  6. Step 6: Final answer
    x = 3,248.72

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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.