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Finding the Fourth Proportional to 3,756.16, 5,639.01 and 3,064.18

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Solution

The fourth proportional to 3,756.16, 5,639.01 and 3,064.18 is: 4,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.16 : 5,639.01 = 3,064.18 : x
  2. Step 2: Convert to fraction form
    3,756.16/5,639.01 = 3,064.18/x
  3. Step 3: Cross multiply
    3,756.16x = 5,639.01 × 3,064.18
  4. Step 4: Simplify right side
    3,756.16x = 17,278,941.66
  5. Step 5: Solve for x
    x = 17,278,941.66/3,756.16
  6. Step 6: Final answer
    x = 4,600.16

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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.