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Finding the Fourth Proportional to 4,686.98, 6,465.84 and 3,007.58

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Solution

The fourth proportional to 4,686.98, 6,465.84 and 3,007.58 is: 4,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.98 : 6,465.84 = 3,007.58 : x
  2. Step 2: Convert to fraction form
    4,686.98/6,465.84 = 3,007.58/x
  3. Step 3: Cross multiply
    4,686.98x = 6,465.84 × 3,007.58
  4. Step 4: Simplify right side
    4,686.98x = 19,446,531.07
  5. Step 5: Solve for x
    x = 19,446,531.07/4,686.98
  6. Step 6: Final answer
    x = 4,149.05

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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.