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Finding the Fourth Proportional to 5,703.84, 8,555.50 and 4,040.32

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Solution

The fourth proportional to 5,703.84, 8,555.50 and 4,040.32 is: 6,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.84 : 8,555.50 = 4,040.32 : x
  2. Step 2: Convert to fraction form
    5,703.84/8,555.50 = 4,040.32/x
  3. Step 3: Cross multiply
    5,703.84x = 8,555.50 × 4,040.32
  4. Step 4: Simplify right side
    5,703.84x = 34,566,957.76
  5. Step 5: Solve for x
    x = 34,566,957.76/5,703.84
  6. Step 6: Final answer
    x = 6,060.30

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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.