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Finding the Fourth Proportional to 4,712.16, 7,036.74 and 4,438.80

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Solution

The fourth proportional to 4,712.16, 7,036.74 and 4,438.80 is: 6,628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.16 : 7,036.74 = 4,438.80 : x
  2. Step 2: Convert to fraction form
    4,712.16/7,036.74 = 4,438.80/x
  3. Step 3: Cross multiply
    4,712.16x = 7,036.74 × 4,438.80
  4. Step 4: Simplify right side
    4,712.16x = 31,234,681.51
  5. Step 5: Solve for x
    x = 31,234,681.51/4,712.16
  6. Step 6: Final answer
    x = 6,628.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.