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Finding the Fourth Proportional to 4,017.84, 6,026.76 and 1,552.80

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Solution

The fourth proportional to 4,017.84, 6,026.76 and 1,552.80 is: 2,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.84 : 6,026.76 = 1,552.80 : x
  2. Step 2: Convert to fraction form
    4,017.84/6,026.76 = 1,552.80/x
  3. Step 3: Cross multiply
    4,017.84x = 6,026.76 × 1,552.80
  4. Step 4: Simplify right side
    4,017.84x = 9,358,352.93
  5. Step 5: Solve for x
    x = 9,358,352.93/4,017.84
  6. Step 6: Final answer
    x = 2,329.20

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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.