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Finding the Fourth Proportional to 4,535.76, 6,802.41 and 1,248.09

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Solution

The fourth proportional to 4,535.76, 6,802.41 and 1,248.09 is: 1,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.76 : 6,802.41 = 1,248.09 : x
  2. Step 2: Convert to fraction form
    4,535.76/6,802.41 = 1,248.09/x
  3. Step 3: Cross multiply
    4,535.76x = 6,802.41 × 1,248.09
  4. Step 4: Simplify right side
    4,535.76x = 8,490,019.90
  5. Step 5: Solve for x
    x = 8,490,019.90/4,535.76
  6. Step 6: Final answer
    x = 1,871.80

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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.