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Finding the Fourth Proportional to 3,810.04, 5,715.44 and 1,501

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Solution

The fourth proportional to 3,810.04, 5,715.44 and 1,501 is: 2,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.04 : 5,715.44 = 1,501 : x
  2. Step 2: Convert to fraction form
    3,810.04/5,715.44 = 1,501/x
  3. Step 3: Cross multiply
    3,810.04x = 5,715.44 × 1,501
  4. Step 4: Simplify right side
    3,810.04x = 8,578,875.44
  5. Step 5: Solve for x
    x = 8,578,875.44/3,810.04
  6. Step 6: Final answer
    x = 2,251.65

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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.