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Finding the Fourth Proportional to 3,752.74, 5,630.33 and 1,287.51

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Solution

The fourth proportional to 3,752.74, 5,630.33 and 1,287.51 is: 1,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.74 : 5,630.33 = 1,287.51 : x
  2. Step 2: Convert to fraction form
    3,752.74/5,630.33 = 1,287.51/x
  3. Step 3: Cross multiply
    3,752.74x = 5,630.33 × 1,287.51
  4. Step 4: Simplify right side
    3,752.74x = 7,249,106.18
  5. Step 5: Solve for x
    x = 7,249,106.18/3,752.74
  6. Step 6: Final answer
    x = 1,931.68

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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.