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Finding the Fourth Proportional to 6,656.32, 9,985.76 and 2,552

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Solution

The fourth proportional to 6,656.32, 9,985.76 and 2,552 is: 3,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.32 : 9,985.76 = 2,552 : x
  2. Step 2: Convert to fraction form
    6,656.32/9,985.76 = 2,552/x
  3. Step 3: Cross multiply
    6,656.32x = 9,985.76 × 2,552
  4. Step 4: Simplify right side
    6,656.32x = 25,483,659.52
  5. Step 5: Solve for x
    x = 25,483,659.52/6,656.32
  6. Step 6: Final answer
    x = 3,828.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.