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Finding the Fourth Proportional to 4,565.25, 6,848.31 and 2,100.77

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Solution

The fourth proportional to 4,565.25, 6,848.31 and 2,100.77 is: 3,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.25 : 6,848.31 = 2,100.77 : x
  2. Step 2: Convert to fraction form
    4,565.25/6,848.31 = 2,100.77/x
  3. Step 3: Cross multiply
    4,565.25x = 6,848.31 × 2,100.77
  4. Step 4: Simplify right side
    4,565.25x = 14,386,689.96
  5. Step 5: Solve for x
    x = 14,386,689.96/4,565.25
  6. Step 6: Final answer
    x = 3,151.35

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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.