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Finding the Fourth Proportional to 4,566.84, 6,302.25 and 2,470.97

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Solution

The fourth proportional to 4,566.84, 6,302.25 and 2,470.97 is: 3,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.84 : 6,302.25 = 2,470.97 : x
  2. Step 2: Convert to fraction form
    4,566.84/6,302.25 = 2,470.97/x
  3. Step 3: Cross multiply
    4,566.84x = 6,302.25 × 2,470.97
  4. Step 4: Simplify right side
    4,566.84x = 15,572,639.17
  5. Step 5: Solve for x
    x = 15,572,639.17/4,566.84
  6. Step 6: Final answer
    x = 3,409.94

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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.