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Finding the Fourth Proportional to 4,704, 7,058.88 and 1,968

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Solution

The fourth proportional to 4,704, 7,058.88 and 1,968 is: 2,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704 : 7,058.88 = 1,968 : x
  2. Step 2: Convert to fraction form
    4,704/7,058.88 = 1,968/x
  3. Step 3: Cross multiply
    4,704x = 7,058.88 × 1,968
  4. Step 4: Simplify right side
    4,704x = 13,891,875.84
  5. Step 5: Solve for x
    x = 13,891,875.84/4,704
  6. Step 6: Final answer
    x = 2,953.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.