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Finding the Fourth Proportional to 4,598.60, 6,900.78 and 4,206.92

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Solution

The fourth proportional to 4,598.60, 6,900.78 and 4,206.92 is: 6,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.60 : 6,900.78 = 4,206.92 : x
  2. Step 2: Convert to fraction form
    4,598.60/6,900.78 = 4,206.92/x
  3. Step 3: Cross multiply
    4,598.60x = 6,900.78 × 4,206.92
  4. Step 4: Simplify right side
    4,598.60x = 29,031,029.40
  5. Step 5: Solve for x
    x = 29,031,029.40/4,598.60
  6. Step 6: Final answer
    x = 6,313.01

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