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Finding the Fourth Proportional to 5,703.21, 7,870.77 and 3,345.50

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Solution

The fourth proportional to 5,703.21, 7,870.77 and 3,345.50 is: 4,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.21 : 7,870.77 = 3,345.50 : x
  2. Step 2: Convert to fraction form
    5,703.21/7,870.77 = 3,345.50/x
  3. Step 3: Cross multiply
    5,703.21x = 7,870.77 × 3,345.50
  4. Step 4: Simplify right side
    5,703.21x = 26,331,680.71
  5. Step 5: Solve for x
    x = 26,331,680.71/5,703.21
  6. Step 6: Final answer
    x = 4,616.99

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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.