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Finding the Fourth Proportional to 5,561.74, 8,346 and 2,931.13

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Solution

The fourth proportional to 5,561.74, 8,346 and 2,931.13 is: 4,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.74 : 8,346 = 2,931.13 : x
  2. Step 2: Convert to fraction form
    5,561.74/8,346 = 2,931.13/x
  3. Step 3: Cross multiply
    5,561.74x = 8,346 × 2,931.13
  4. Step 4: Simplify right side
    5,561.74x = 24,463,210.98
  5. Step 5: Solve for x
    x = 24,463,210.98/5,561.74
  6. Step 6: Final answer
    x = 4,398.48

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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.