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Finding the Fourth Proportional to 4,656.93, 6,424.11 and 3,536.01

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Solution

The fourth proportional to 4,656.93, 6,424.11 and 3,536.01 is: 4,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.93 : 6,424.11 = 3,536.01 : x
  2. Step 2: Convert to fraction form
    4,656.93/6,424.11 = 3,536.01/x
  3. Step 3: Cross multiply
    4,656.93x = 6,424.11 × 3,536.01
  4. Step 4: Simplify right side
    4,656.93x = 22,715,717.20
  5. Step 5: Solve for x
    x = 22,715,717.20/4,656.93
  6. Step 6: Final answer
    x = 4,877.83

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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.