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Finding the Fourth Proportional to 4,309.95, 6,465.54 and 1,387.88

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Solution

The fourth proportional to 4,309.95, 6,465.54 and 1,387.88 is: 2,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.95 : 6,465.54 = 1,387.88 : x
  2. Step 2: Convert to fraction form
    4,309.95/6,465.54 = 1,387.88/x
  3. Step 3: Cross multiply
    4,309.95x = 6,465.54 × 1,387.88
  4. Step 4: Simplify right side
    4,309.95x = 8,973,354.39
  5. Step 5: Solve for x
    x = 8,973,354.39/4,309.95
  6. Step 6: Final answer
    x = 2,082.01

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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.