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Finding the Fourth Proportional to 4,687.74, 6,470 and 3,011.28

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Solution

The fourth proportional to 4,687.74, 6,470 and 3,011.28 is: 4,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.74 : 6,470 = 3,011.28 : x
  2. Step 2: Convert to fraction form
    4,687.74/6,470 = 3,011.28/x
  3. Step 3: Cross multiply
    4,687.74x = 6,470 × 3,011.28
  4. Step 4: Simplify right side
    4,687.74x = 19,482,981.60
  5. Step 5: Solve for x
    x = 19,482,981.60/4,687.74
  6. Step 6: Final answer
    x = 4,156.16

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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.