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Finding the Fourth Proportional to 4,677.66, 6,452.37 and 3,417.18

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Solution

The fourth proportional to 4,677.66, 6,452.37 and 3,417.18 is: 4,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.66 : 6,452.37 = 3,417.18 : x
  2. Step 2: Convert to fraction form
    4,677.66/6,452.37 = 3,417.18/x
  3. Step 3: Cross multiply
    4,677.66x = 6,452.37 × 3,417.18
  4. Step 4: Simplify right side
    4,677.66x = 22,048,877.45
  5. Step 5: Solve for x
    x = 22,048,877.45/4,677.66
  6. Step 6: Final answer
    x = 4,713.66

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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.