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Finding the Fourth Proportional to 4,569.34, 6,854.01 and 1,106.59

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Solution

The fourth proportional to 4,569.34, 6,854.01 and 1,106.59 is: 1,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.34 : 6,854.01 = 1,106.59 : x
  2. Step 2: Convert to fraction form
    4,569.34/6,854.01 = 1,106.59/x
  3. Step 3: Cross multiply
    4,569.34x = 6,854.01 × 1,106.59
  4. Step 4: Simplify right side
    4,569.34x = 7,584,578.93
  5. Step 5: Solve for x
    x = 7,584,578.93/4,569.34
  6. Step 6: Final answer
    x = 1,659.89

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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.