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Finding the Fourth Proportional to 4,724.07, 6,509.60 and 3,655.35

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Solution

The fourth proportional to 4,724.07, 6,509.60 and 3,655.35 is: 5,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.07 : 6,509.60 = 3,655.35 : x
  2. Step 2: Convert to fraction form
    4,724.07/6,509.60 = 3,655.35/x
  3. Step 3: Cross multiply
    4,724.07x = 6,509.60 × 3,655.35
  4. Step 4: Simplify right side
    4,724.07x = 23,794,848.08
  5. Step 5: Solve for x
    x = 23,794,848.08/4,724.07
  6. Step 6: Final answer
    x = 5,036.94

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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.