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Finding the Fourth Proportional to 4,661.01, 6,994.08 and 2,470.77

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Solution

The fourth proportional to 4,661.01, 6,994.08 and 2,470.77 is: 3,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.01 : 6,994.08 = 2,470.77 : x
  2. Step 2: Convert to fraction form
    4,661.01/6,994.08 = 2,470.77/x
  3. Step 3: Cross multiply
    4,661.01x = 6,994.08 × 2,470.77
  4. Step 4: Simplify right side
    4,661.01x = 17,280,763.04
  5. Step 5: Solve for x
    x = 17,280,763.04/4,661.01
  6. Step 6: Final answer
    x = 3,707.51

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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.