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Finding the Fourth Proportional to 4,767.59, 6,574.73 and 3,648.57

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Solution

The fourth proportional to 4,767.59, 6,574.73 and 3,648.57 is: 5,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.59 : 6,574.73 = 3,648.57 : x
  2. Step 2: Convert to fraction form
    4,767.59/6,574.73 = 3,648.57/x
  3. Step 3: Cross multiply
    4,767.59x = 6,574.73 × 3,648.57
  4. Step 4: Simplify right side
    4,767.59x = 23,988,344.39
  5. Step 5: Solve for x
    x = 23,988,344.39/4,767.59
  6. Step 6: Final answer
    x = 5,031.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.