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Finding the Fourth Proportional to 5,264.19, 7,857.88 and 4,855.95

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Solution

The fourth proportional to 5,264.19, 7,857.88 and 4,855.95 is: 7,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.19 : 7,857.88 = 4,855.95 : x
  2. Step 2: Convert to fraction form
    5,264.19/7,857.88 = 4,855.95/x
  3. Step 3: Cross multiply
    5,264.19x = 7,857.88 × 4,855.95
  4. Step 4: Simplify right side
    5,264.19x = 38,157,460.25
  5. Step 5: Solve for x
    x = 38,157,460.25/5,264.19
  6. Step 6: Final answer
    x = 7,248.50

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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.