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Finding the Fourth Proportional to 5,703.77, 7,870.91 and 3,345.75

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Solution

The fourth proportional to 5,703.77, 7,870.91 and 3,345.75 is: 4,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.77 : 7,870.91 = 3,345.75 : x
  2. Step 2: Convert to fraction form
    5,703.77/7,870.91 = 3,345.75/x
  3. Step 3: Cross multiply
    5,703.77x = 7,870.91 × 3,345.75
  4. Step 4: Simplify right side
    5,703.77x = 26,334,080.40
  5. Step 5: Solve for x
    x = 26,334,080.40/5,703.77
  6. Step 6: Final answer
    x = 4,616.96

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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.