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Finding the Fourth Proportional to 4,569.33, 6,854.01 and 1,106.58

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Solution

The fourth proportional to 4,569.33, 6,854.01 and 1,106.58 is: 1,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.33 : 6,854.01 = 1,106.58 : x
  2. Step 2: Convert to fraction form
    4,569.33/6,854.01 = 1,106.58/x
  3. Step 3: Cross multiply
    4,569.33x = 6,854.01 × 1,106.58
  4. Step 4: Simplify right side
    4,569.33x = 7,584,510.39
  5. Step 5: Solve for x
    x = 7,584,510.39/4,569.33
  6. Step 6: Final answer
    x = 1,659.87

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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.