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Finding the Fourth Proportional to 5,252.51, 7,868.75 and 4,470.66

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Solution

The fourth proportional to 5,252.51, 7,868.75 and 4,470.66 is: 6,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.51 : 7,868.75 = 4,470.66 : x
  2. Step 2: Convert to fraction form
    5,252.51/7,868.75 = 4,470.66/x
  3. Step 3: Cross multiply
    5,252.51x = 7,868.75 × 4,470.66
  4. Step 4: Simplify right side
    5,252.51x = 35,178,483.52
  5. Step 5: Solve for x
    x = 35,178,483.52/5,252.51
  6. Step 6: Final answer
    x = 6,697.46

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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.