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Finding the Fourth Proportional to 4,752.16, 7,087.75 and 4,454.47

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Solution

The fourth proportional to 4,752.16, 7,087.75 and 4,454.47 is: 6,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.16 : 7,087.75 = 4,454.47 : x
  2. Step 2: Convert to fraction form
    4,752.16/7,087.75 = 4,454.47/x
  3. Step 3: Cross multiply
    4,752.16x = 7,087.75 × 4,454.47
  4. Step 4: Simplify right side
    4,752.16x = 31,572,169.74
  5. Step 5: Solve for x
    x = 31,572,169.74/4,752.16
  6. Step 6: Final answer
    x = 6,643.75

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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.