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Finding the Fourth Proportional to 4,498.71, 6,746.45 and 1,378.05

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Solution

The fourth proportional to 4,498.71, 6,746.45 and 1,378.05 is: 2,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.71 : 6,746.45 = 1,378.05 : x
  2. Step 2: Convert to fraction form
    4,498.71/6,746.45 = 1,378.05/x
  3. Step 3: Cross multiply
    4,498.71x = 6,746.45 × 1,378.05
  4. Step 4: Simplify right side
    4,498.71x = 9,296,938.53
  5. Step 5: Solve for x
    x = 9,296,938.53/4,498.71
  6. Step 6: Final answer
    x = 2,066.58

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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.