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Finding the Fourth Proportional to 5,288.52, 7,300.86 and 3,870.63

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Solution

The fourth proportional to 5,288.52, 7,300.86 and 3,870.63 is: 5,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.52 : 7,300.86 = 3,870.63 : x
  2. Step 2: Convert to fraction form
    5,288.52/7,300.86 = 3,870.63/x
  3. Step 3: Cross multiply
    5,288.52x = 7,300.86 × 3,870.63
  4. Step 4: Simplify right side
    5,288.52x = 28,258,927.74
  5. Step 5: Solve for x
    x = 28,258,927.74/5,288.52
  6. Step 6: Final answer
    x = 5,343.45

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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.