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Finding the Fourth Proportional to 5,335.32, 8,001.60 and 1,586.24

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Solution

The fourth proportional to 5,335.32, 8,001.60 and 1,586.24 is: 2,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.32 : 8,001.60 = 1,586.24 : x
  2. Step 2: Convert to fraction form
    5,335.32/8,001.60 = 1,586.24/x
  3. Step 3: Cross multiply
    5,335.32x = 8,001.60 × 1,586.24
  4. Step 4: Simplify right side
    5,335.32x = 12,692,417.98
  5. Step 5: Solve for x
    x = 12,692,417.98/5,335.32
  6. Step 6: Final answer
    x = 2,378.94

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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.