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Finding the Fourth Proportional to 5,335.51, 8,002.35 and 1,439

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Solution

The fourth proportional to 5,335.51, 8,002.35 and 1,439 is: 2,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.51 : 8,002.35 = 1,439 : x
  2. Step 2: Convert to fraction form
    5,335.51/8,002.35 = 1,439/x
  3. Step 3: Cross multiply
    5,335.51x = 8,002.35 × 1,439
  4. Step 4: Simplify right side
    5,335.51x = 11,515,374.46
  5. Step 5: Solve for x
    x = 11,515,374.46/5,335.51
  6. Step 6: Final answer
    x = 2,158.25

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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.