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Finding the Fourth Proportional to 4,823.66, 6,659.64 and 3,702.45

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Solution

The fourth proportional to 4,823.66, 6,659.64 and 3,702.45 is: 5,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.66 : 6,659.64 = 3,702.45 : x
  2. Step 2: Convert to fraction form
    4,823.66/6,659.64 = 3,702.45/x
  3. Step 3: Cross multiply
    4,823.66x = 6,659.64 × 3,702.45
  4. Step 4: Simplify right side
    4,823.66x = 24,656,984.12
  5. Step 5: Solve for x
    x = 24,656,984.12/4,823.66
  6. Step 6: Final answer
    x = 5,111.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.