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Finding the Fourth Proportional to 4,720.66, 6,518.90 and 3,046

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Solution

The fourth proportional to 4,720.66, 6,518.90 and 3,046 is: 4,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.66 : 6,518.90 = 3,046 : x
  2. Step 2: Convert to fraction form
    4,720.66/6,518.90 = 3,046/x
  3. Step 3: Cross multiply
    4,720.66x = 6,518.90 × 3,046
  4. Step 4: Simplify right side
    4,720.66x = 19,856,569.40
  5. Step 5: Solve for x
    x = 19,856,569.40/4,720.66
  6. Step 6: Final answer
    x = 4,206.31

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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.