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Finding the Fourth Proportional to 5,943.64, 8,915.40 and 1,561.02

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Solution

The fourth proportional to 5,943.64, 8,915.40 and 1,561.02 is: 2,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.64 : 8,915.40 = 1,561.02 : x
  2. Step 2: Convert to fraction form
    5,943.64/8,915.40 = 1,561.02/x
  3. Step 3: Cross multiply
    5,943.64x = 8,915.40 × 1,561.02
  4. Step 4: Simplify right side
    5,943.64x = 13,917,117.71
  5. Step 5: Solve for x
    x = 13,917,117.71/5,943.64
  6. Step 6: Final answer
    x = 2,341.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.