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Finding the Fourth Proportional to 4,762.40, 6,568.98 and 3,643.52

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Solution

The fourth proportional to 4,762.40, 6,568.98 and 3,643.52 is: 5,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.40 : 6,568.98 = 3,643.52 : x
  2. Step 2: Convert to fraction form
    4,762.40/6,568.98 = 3,643.52/x
  3. Step 3: Cross multiply
    4,762.40x = 6,568.98 × 3,643.52
  4. Step 4: Simplify right side
    4,762.40x = 23,934,210.01
  5. Step 5: Solve for x
    x = 23,934,210.01/4,762.40
  6. Step 6: Final answer
    x = 5,025.66

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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.