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Finding the Fourth Proportional to 4,602.02, 6,858.63 and 4,594.70

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Solution

The fourth proportional to 4,602.02, 6,858.63 and 4,594.70 is: 6,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.02 : 6,858.63 = 4,594.70 : x
  2. Step 2: Convert to fraction form
    4,602.02/6,858.63 = 4,594.70/x
  3. Step 3: Cross multiply
    4,602.02x = 6,858.63 × 4,594.70
  4. Step 4: Simplify right side
    4,602.02x = 31,513,324.29
  5. Step 5: Solve for x
    x = 31,513,324.29/4,602.02
  6. Step 6: Final answer
    x = 6,847.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.