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Finding the Fourth Proportional to 3,117.98, 4,673.06 and 1,558.42

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Solution

The fourth proportional to 3,117.98, 4,673.06 and 1,558.42 is: 2,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.98 : 4,673.06 = 1,558.42 : x
  2. Step 2: Convert to fraction form
    3,117.98/4,673.06 = 1,558.42/x
  3. Step 3: Cross multiply
    3,117.98x = 4,673.06 × 1,558.42
  4. Step 4: Simplify right side
    3,117.98x = 7,282,590.17
  5. Step 5: Solve for x
    x = 7,282,590.17/3,117.98
  6. Step 6: Final answer
    x = 2,335.68

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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.