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Finding the Fourth Proportional to 5,653.04, 7,802.09 and 3,415.23

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Solution

The fourth proportional to 5,653.04, 7,802.09 and 3,415.23 is: 4,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.04 : 7,802.09 = 3,415.23 : x
  2. Step 2: Convert to fraction form
    5,653.04/7,802.09 = 3,415.23/x
  3. Step 3: Cross multiply
    5,653.04x = 7,802.09 × 3,415.23
  4. Step 4: Simplify right side
    5,653.04x = 26,645,931.83
  5. Step 5: Solve for x
    x = 26,645,931.83/5,653.04
  6. Step 6: Final answer
    x = 4,713.56

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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.