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Finding the Fourth Proportional to 4,341.47, 6,512.00 and 1,419.39

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Solution

The fourth proportional to 4,341.47, 6,512.00 and 1,419.39 is: 2,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.47 : 6,512.00 = 1,419.39 : x
  2. Step 2: Convert to fraction form
    4,341.47/6,512.00 = 1,419.39/x
  3. Step 3: Cross multiply
    4,341.47x = 6,512.00 × 1,419.39
  4. Step 4: Simplify right side
    4,341.47x = 9,243,060.58
  5. Step 5: Solve for x
    x = 9,243,060.58/4,341.47
  6. Step 6: Final answer
    x = 2,129.02

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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.