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Finding the Fourth Proportional to 4,739.97, 7,100.10 and 4,575

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Solution

The fourth proportional to 4,739.97, 7,100.10 and 4,575 is: 6,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.97 : 7,100.10 = 4,575 : x
  2. Step 2: Convert to fraction form
    4,739.97/7,100.10 = 4,575/x
  3. Step 3: Cross multiply
    4,739.97x = 7,100.10 × 4,575
  4. Step 4: Simplify right side
    4,739.97x = 32,482,957.50
  5. Step 5: Solve for x
    x = 32,482,957.50/4,739.97
  6. Step 6: Final answer
    x = 6,852.99

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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.