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Finding the Fourth Proportional to 3,434.60, 5,148.90 and 2,335.40

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Solution

The fourth proportional to 3,434.60, 5,148.90 and 2,335.40 is: 3,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.60 : 5,148.90 = 2,335.40 : x
  2. Step 2: Convert to fraction form
    3,434.60/5,148.90 = 2,335.40/x
  3. Step 3: Cross multiply
    3,434.60x = 5,148.90 × 2,335.40
  4. Step 4: Simplify right side
    3,434.60x = 12,024,741.06
  5. Step 5: Solve for x
    x = 12,024,741.06/3,434.60
  6. Step 6: Final answer
    x = 3,501.06

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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.