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Finding the Fourth Proportional to 4,341.07, 6,509.65 and 1,378.68

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Solution

The fourth proportional to 4,341.07, 6,509.65 and 1,378.68 is: 2,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.07 : 6,509.65 = 1,378.68 : x
  2. Step 2: Convert to fraction form
    4,341.07/6,509.65 = 1,378.68/x
  3. Step 3: Cross multiply
    4,341.07x = 6,509.65 × 1,378.68
  4. Step 4: Simplify right side
    4,341.07x = 8,974,724.26
  5. Step 5: Solve for x
    x = 8,974,724.26/4,341.07
  6. Step 6: Final answer
    x = 2,067.40

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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.