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Finding the Fourth Proportional to 3,117.67, 4,675.23 and 1,557.10

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Solution

The fourth proportional to 3,117.67, 4,675.23 and 1,557.10 is: 2,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.67 : 4,675.23 = 1,557.10 : x
  2. Step 2: Convert to fraction form
    3,117.67/4,675.23 = 1,557.10/x
  3. Step 3: Cross multiply
    3,117.67x = 4,675.23 × 1,557.10
  4. Step 4: Simplify right side
    3,117.67x = 7,279,800.63
  5. Step 5: Solve for x
    x = 7,279,800.63/3,117.67
  6. Step 6: Final answer
    x = 2,335.01

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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.