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Finding the Fourth Proportional to 4,319.84, 5,964.88 and 4,102.40

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Solution

The fourth proportional to 4,319.84, 5,964.88 and 4,102.40 is: 5,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319.84 : 5,964.88 = 4,102.40 : x
  2. Step 2: Convert to fraction form
    4,319.84/5,964.88 = 4,102.40/x
  3. Step 3: Cross multiply
    4,319.84x = 5,964.88 × 4,102.40
  4. Step 4: Simplify right side
    4,319.84x = 24,470,323.71
  5. Step 5: Solve for x
    x = 24,470,323.71/4,319.84
  6. Step 6: Final answer
    x = 5,664.64

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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.