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Finding the Fourth Proportional to 4,767.74, 6,580.86 and 3,089.10

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Solution

The fourth proportional to 4,767.74, 6,580.86 and 3,089.10 is: 4,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.74 : 6,580.86 = 3,089.10 : x
  2. Step 2: Convert to fraction form
    4,767.74/6,580.86 = 3,089.10/x
  3. Step 3: Cross multiply
    4,767.74x = 6,580.86 × 3,089.10
  4. Step 4: Simplify right side
    4,767.74x = 20,328,934.63
  5. Step 5: Solve for x
    x = 20,328,934.63/4,767.74
  6. Step 6: Final answer
    x = 4,263.85

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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.