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Finding the Fourth Proportional to 4,703.59, 7,041.58 and 2,477.17

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Solution

The fourth proportional to 4,703.59, 7,041.58 and 2,477.17 is: 3,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.59 : 7,041.58 = 2,477.17 : x
  2. Step 2: Convert to fraction form
    4,703.59/7,041.58 = 2,477.17/x
  3. Step 3: Cross multiply
    4,703.59x = 7,041.58 × 2,477.17
  4. Step 4: Simplify right side
    4,703.59x = 17,443,190.73
  5. Step 5: Solve for x
    x = 17,443,190.73/4,703.59
  6. Step 6: Final answer
    x = 3,708.48

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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.