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Finding the Fourth Proportional to 5,249.85, 7,875.18 and 1,552.01

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Solution

The fourth proportional to 5,249.85, 7,875.18 and 1,552.01 is: 2,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.85 : 7,875.18 = 1,552.01 : x
  2. Step 2: Convert to fraction form
    5,249.85/7,875.18 = 1,552.01/x
  3. Step 3: Cross multiply
    5,249.85x = 7,875.18 × 1,552.01
  4. Step 4: Simplify right side
    5,249.85x = 12,222,318.74
  5. Step 5: Solve for x
    x = 12,222,318.74/5,249.85
  6. Step 6: Final answer
    x = 2,328.13

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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.