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Finding the Fourth Proportional to 5,302.71, 7,953.48 and 1,407.42

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Solution

The fourth proportional to 5,302.71, 7,953.48 and 1,407.42 is: 2,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.71 : 7,953.48 = 1,407.42 : x
  2. Step 2: Convert to fraction form
    5,302.71/7,953.48 = 1,407.42/x
  3. Step 3: Cross multiply
    5,302.71x = 7,953.48 × 1,407.42
  4. Step 4: Simplify right side
    5,302.71x = 11,193,886.82
  5. Step 5: Solve for x
    x = 11,193,886.82/5,302.71
  6. Step 6: Final answer
    x = 2,110.97

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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.