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Finding the Fourth Proportional to 4,762.10, 6,572.07 and 2,746.16

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Solution

The fourth proportional to 4,762.10, 6,572.07 and 2,746.16 is: 3,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.10 : 6,572.07 = 2,746.16 : x
  2. Step 2: Convert to fraction form
    4,762.10/6,572.07 = 2,746.16/x
  3. Step 3: Cross multiply
    4,762.10x = 6,572.07 × 2,746.16
  4. Step 4: Simplify right side
    4,762.10x = 18,047,992.23
  5. Step 5: Solve for x
    x = 18,047,992.23/4,762.10
  6. Step 6: Final answer
    x = 3,789.92

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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.