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Finding the Fourth Proportional to 4,703.60, 7,055.62 and 3,880.35

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Solution

The fourth proportional to 4,703.60, 7,055.62 and 3,880.35 is: 5,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.60 : 7,055.62 = 3,880.35 : x
  2. Step 2: Convert to fraction form
    4,703.60/7,055.62 = 3,880.35/x
  3. Step 3: Cross multiply
    4,703.60x = 7,055.62 × 3,880.35
  4. Step 4: Simplify right side
    4,703.60x = 27,378,275.07
  5. Step 5: Solve for x
    x = 27,378,275.07/4,703.60
  6. Step 6: Final answer
    x = 5,820.71

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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.