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Finding the Fourth Proportional to 4,568.86, 6,301.80 and 4,416.46

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Solution

The fourth proportional to 4,568.86, 6,301.80 and 4,416.46 is: 6,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.86 : 6,301.80 = 4,416.46 : x
  2. Step 2: Convert to fraction form
    4,568.86/6,301.80 = 4,416.46/x
  3. Step 3: Cross multiply
    4,568.86x = 6,301.80 × 4,416.46
  4. Step 4: Simplify right side
    4,568.86x = 27,831,647.63
  5. Step 5: Solve for x
    x = 27,831,647.63/4,568.86
  6. Step 6: Final answer
    x = 6,091.60

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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.