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Finding the Fourth Proportional to 5,038.86, 6,946.30 and 3,521.71

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Solution

The fourth proportional to 5,038.86, 6,946.30 and 3,521.71 is: 4,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.86 : 6,946.30 = 3,521.71 : x
  2. Step 2: Convert to fraction form
    5,038.86/6,946.30 = 3,521.71/x
  3. Step 3: Cross multiply
    5,038.86x = 6,946.30 × 3,521.71
  4. Step 4: Simplify right side
    5,038.86x = 24,462,801.83
  5. Step 5: Solve for x
    x = 24,462,801.83/5,038.86
  6. Step 6: Final answer
    x = 4,854.83

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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.