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Finding the Fourth Proportional to 4,722.84, 7,032.54 and 4,670.64

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Solution

The fourth proportional to 4,722.84, 7,032.54 and 4,670.64 is: 6,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.84 : 7,032.54 = 4,670.64 : x
  2. Step 2: Convert to fraction form
    4,722.84/7,032.54 = 4,670.64/x
  3. Step 3: Cross multiply
    4,722.84x = 7,032.54 × 4,670.64
  4. Step 4: Simplify right side
    4,722.84x = 32,846,462.63
  5. Step 5: Solve for x
    x = 32,846,462.63/4,722.84
  6. Step 6: Final answer
    x = 6,954.81

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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.