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Finding the Fourth Proportional to 5,386.94, 8,071.47 and 1,875.09

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Solution

The fourth proportional to 5,386.94, 8,071.47 and 1,875.09 is: 2,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.94 : 8,071.47 = 1,875.09 : x
  2. Step 2: Convert to fraction form
    5,386.94/8,071.47 = 1,875.09/x
  3. Step 3: Cross multiply
    5,386.94x = 8,071.47 × 1,875.09
  4. Step 4: Simplify right side
    5,386.94x = 15,134,732.68
  5. Step 5: Solve for x
    x = 15,134,732.68/5,386.94
  6. Step 6: Final answer
    x = 2,809.53

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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.