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Finding the Fourth Proportional to 5,712.44, 8,530.04 and 4,674.47

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Solution

The fourth proportional to 5,712.44, 8,530.04 and 4,674.47 is: 6,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.44 : 8,530.04 = 4,674.47 : x
  2. Step 2: Convert to fraction form
    5,712.44/8,530.04 = 4,674.47/x
  3. Step 3: Cross multiply
    5,712.44x = 8,530.04 × 4,674.47
  4. Step 4: Simplify right side
    5,712.44x = 39,873,385.11
  5. Step 5: Solve for x
    x = 39,873,385.11/5,712.44
  6. Step 6: Final answer
    x = 6,980.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.