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Finding the Fourth Proportional to 3,117.86, 4,677.64 and 1,038.20

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Solution

The fourth proportional to 3,117.86, 4,677.64 and 1,038.20 is: 1,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.86 : 4,677.64 = 1,038.20 : x
  2. Step 2: Convert to fraction form
    3,117.86/4,677.64 = 1,038.20/x
  3. Step 3: Cross multiply
    3,117.86x = 4,677.64 × 1,038.20
  4. Step 4: Simplify right side
    3,117.86x = 4,856,325.85
  5. Step 5: Solve for x
    x = 4,856,325.85/3,117.86
  6. Step 6: Final answer
    x = 1,557.58

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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.