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Finding the Fourth Proportional to 4,335.48, 6,503.22 and 1,414.08

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Solution

The fourth proportional to 4,335.48, 6,503.22 and 1,414.08 is: 2,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.48 : 6,503.22 = 1,414.08 : x
  2. Step 2: Convert to fraction form
    4,335.48/6,503.22 = 1,414.08/x
  3. Step 3: Cross multiply
    4,335.48x = 6,503.22 × 1,414.08
  4. Step 4: Simplify right side
    4,335.48x = 9,196,073.34
  5. Step 5: Solve for x
    x = 9,196,073.34/4,335.48
  6. Step 6: Final answer
    x = 2,121.12

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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.