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Finding the Fourth Proportional to 4,656.66, 6,417.96 and 4,113.56

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Solution

The fourth proportional to 4,656.66, 6,417.96 and 4,113.56 is: 5,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.66 : 6,417.96 = 4,113.56 : x
  2. Step 2: Convert to fraction form
    4,656.66/6,417.96 = 4,113.56/x
  3. Step 3: Cross multiply
    4,656.66x = 6,417.96 × 4,113.56
  4. Step 4: Simplify right side
    4,656.66x = 26,400,663.54
  5. Step 5: Solve for x
    x = 26,400,663.54/4,656.66
  6. Step 6: Final answer
    x = 5,669.44

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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.