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Finding the Fourth Proportional to 4,712.58, 7,058.61 and 4,300.02

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Solution

The fourth proportional to 4,712.58, 7,058.61 and 4,300.02 is: 6,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.58 : 7,058.61 = 4,300.02 : x
  2. Step 2: Convert to fraction form
    4,712.58/7,058.61 = 4,300.02/x
  3. Step 3: Cross multiply
    4,712.58x = 7,058.61 × 4,300.02
  4. Step 4: Simplify right side
    4,712.58x = 30,352,164.17
  5. Step 5: Solve for x
    x = 30,352,164.17/4,712.58
  6. Step 6: Final answer
    x = 6,440.67

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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.