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Finding the Fourth Proportional to 4,166.04, 5,748.01 and 2,486.68

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Solution

The fourth proportional to 4,166.04, 5,748.01 and 2,486.68 is: 3,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.04 : 5,748.01 = 2,486.68 : x
  2. Step 2: Convert to fraction form
    4,166.04/5,748.01 = 2,486.68/x
  3. Step 3: Cross multiply
    4,166.04x = 5,748.01 × 2,486.68
  4. Step 4: Simplify right side
    4,166.04x = 14,293,461.51
  5. Step 5: Solve for x
    x = 14,293,461.51/4,166.04
  6. Step 6: Final answer
    x = 3,430.95

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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.