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Finding the Fourth Proportional to 4,698.84, 6,480.65 and 3,020.42

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Solution

The fourth proportional to 4,698.84, 6,480.65 and 3,020.42 is: 4,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.84 : 6,480.65 = 3,020.42 : x
  2. Step 2: Convert to fraction form
    4,698.84/6,480.65 = 3,020.42/x
  3. Step 3: Cross multiply
    4,698.84x = 6,480.65 × 3,020.42
  4. Step 4: Simplify right side
    4,698.84x = 19,574,260.02
  5. Step 5: Solve for x
    x = 19,574,260.02/4,698.84
  6. Step 6: Final answer
    x = 4,165.77

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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.