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Finding the Fourth Proportional to 4,853.58, 6,697.95 and 2,864.16

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Solution

The fourth proportional to 4,853.58, 6,697.95 and 2,864.16 is: 3,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.58 : 6,697.95 = 2,864.16 : x
  2. Step 2: Convert to fraction form
    4,853.58/6,697.95 = 2,864.16/x
  3. Step 3: Cross multiply
    4,853.58x = 6,697.95 × 2,864.16
  4. Step 4: Simplify right side
    4,853.58x = 19,184,000.47
  5. Step 5: Solve for x
    x = 19,184,000.47/4,853.58
  6. Step 6: Final answer
    x = 3,952.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.