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Finding the Fourth Proportional to 5,782.16, 8,677.56 and 2,706.32

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Solution

The fourth proportional to 5,782.16, 8,677.56 and 2,706.32 is: 4,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.16 : 8,677.56 = 2,706.32 : x
  2. Step 2: Convert to fraction form
    5,782.16/8,677.56 = 2,706.32/x
  3. Step 3: Cross multiply
    5,782.16x = 8,677.56 × 2,706.32
  4. Step 4: Simplify right side
    5,782.16x = 23,484,254.18
  5. Step 5: Solve for x
    x = 23,484,254.18/5,782.16
  6. Step 6: Final answer
    x = 4,061.50

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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.