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Finding the Fourth Proportional to 4,578.76, 6,870.06 and 1,501

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Solution

The fourth proportional to 4,578.76, 6,870.06 and 1,501 is: 2,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.76 : 6,870.06 = 1,501 : x
  2. Step 2: Convert to fraction form
    4,578.76/6,870.06 = 1,501/x
  3. Step 3: Cross multiply
    4,578.76x = 6,870.06 × 1,501
  4. Step 4: Simplify right side
    4,578.76x = 10,311,960.06
  5. Step 5: Solve for x
    x = 10,311,960.06/4,578.76
  6. Step 6: Final answer
    x = 2,252.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.