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Finding the Fourth Proportional to 4,585.88, 6,878.86 and 1,123.08

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Solution

The fourth proportional to 4,585.88, 6,878.86 and 1,123.08 is: 1,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.88 : 6,878.86 = 1,123.08 : x
  2. Step 2: Convert to fraction form
    4,585.88/6,878.86 = 1,123.08/x
  3. Step 3: Cross multiply
    4,585.88x = 6,878.86 × 1,123.08
  4. Step 4: Simplify right side
    4,585.88x = 7,725,510.09
  5. Step 5: Solve for x
    x = 7,725,510.09/4,585.88
  6. Step 6: Final answer
    x = 1,684.63

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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.