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Finding the Fourth Proportional to 4,570.02, 6,863.40 and 4,184.46

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Solution

The fourth proportional to 4,570.02, 6,863.40 and 4,184.46 is: 6,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.02 : 6,863.40 = 4,184.46 : x
  2. Step 2: Convert to fraction form
    4,570.02/6,863.40 = 4,184.46/x
  3. Step 3: Cross multiply
    4,570.02x = 6,863.40 × 4,184.46
  4. Step 4: Simplify right side
    4,570.02x = 28,719,622.76
  5. Step 5: Solve for x
    x = 28,719,622.76/4,570.02
  6. Step 6: Final answer
    x = 6,284.35

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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.