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Finding the Fourth Proportional to 4,595.96, 6,895.01 and 1,309.10

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Solution

The fourth proportional to 4,595.96, 6,895.01 and 1,309.10 is: 1,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.96 : 6,895.01 = 1,309.10 : x
  2. Step 2: Convert to fraction form
    4,595.96/6,895.01 = 1,309.10/x
  3. Step 3: Cross multiply
    4,595.96x = 6,895.01 × 1,309.10
  4. Step 4: Simplify right side
    4,595.96x = 9,026,226.39
  5. Step 5: Solve for x
    x = 9,026,226.39/4,595.96
  6. Step 6: Final answer
    x = 1,963.95

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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.