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Finding the Fourth Proportional to 4,762.30, 6,572.74 and 3,641.08

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Solution

The fourth proportional to 4,762.30, 6,572.74 and 3,641.08 is: 5,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.30 : 6,572.74 = 3,641.08 : x
  2. Step 2: Convert to fraction form
    4,762.30/6,572.74 = 3,641.08/x
  3. Step 3: Cross multiply
    4,762.30x = 6,572.74 × 3,641.08
  4. Step 4: Simplify right side
    4,762.30x = 23,931,872.16
  5. Step 5: Solve for x
    x = 23,931,872.16/4,762.30
  6. Step 6: Final answer
    x = 5,025.28

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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.