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Finding the Fourth Proportional to 4,594.83, 6,895.51 and 1,822.10

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Solution

The fourth proportional to 4,594.83, 6,895.51 and 1,822.10 is: 2,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.83 : 6,895.51 = 1,822.10 : x
  2. Step 2: Convert to fraction form
    4,594.83/6,895.51 = 1,822.10/x
  3. Step 3: Cross multiply
    4,594.83x = 6,895.51 × 1,822.10
  4. Step 4: Simplify right side
    4,594.83x = 12,564,308.77
  5. Step 5: Solve for x
    x = 12,564,308.77/4,594.83
  6. Step 6: Final answer
    x = 2,734.44

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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.