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Finding the Fourth Proportional to 4,335.40, 6,500.70 and 1,412.20

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Solution

The fourth proportional to 4,335.40, 6,500.70 and 1,412.20 is: 2,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.40 : 6,500.70 = 1,412.20 : x
  2. Step 2: Convert to fraction form
    4,335.40/6,500.70 = 1,412.20/x
  3. Step 3: Cross multiply
    4,335.40x = 6,500.70 × 1,412.20
  4. Step 4: Simplify right side
    4,335.40x = 9,180,288.54
  5. Step 5: Solve for x
    x = 9,180,288.54/4,335.40
  6. Step 6: Final answer
    x = 2,117.52

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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.