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Finding the Fourth Proportional to 4,330.68, 6,494.40 and 3,417

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Solution

The fourth proportional to 4,330.68, 6,494.40 and 3,417 is: 5,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.68 : 6,494.40 = 3,417 : x
  2. Step 2: Convert to fraction form
    4,330.68/6,494.40 = 3,417/x
  3. Step 3: Cross multiply
    4,330.68x = 6,494.40 × 3,417
  4. Step 4: Simplify right side
    4,330.68x = 22,191,364.80
  5. Step 5: Solve for x
    x = 22,191,364.80/4,330.68
  6. Step 6: Final answer
    x = 5,124.22

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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.