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Finding the Fourth Proportional to 3,521.86, 5,282.30 and 924.58

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Solution

The fourth proportional to 3,521.86, 5,282.30 and 924.58 is: 1,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.86 : 5,282.30 = 924.58 : x
  2. Step 2: Convert to fraction form
    3,521.86/5,282.30 = 924.58/x
  3. Step 3: Cross multiply
    3,521.86x = 5,282.30 × 924.58
  4. Step 4: Simplify right side
    3,521.86x = 4,883,908.93
  5. Step 5: Solve for x
    x = 4,883,908.93/3,521.86
  6. Step 6: Final answer
    x = 1,386.74

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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.