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Finding the Fourth Proportional to 4,699.89, 6,477.98 and 3,565.22

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Solution

The fourth proportional to 4,699.89, 6,477.98 and 3,565.22 is: 4,914.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.89 : 6,477.98 = 3,565.22 : x
  2. Step 2: Convert to fraction form
    4,699.89/6,477.98 = 3,565.22/x
  3. Step 3: Cross multiply
    4,699.89x = 6,477.98 × 3,565.22
  4. Step 4: Simplify right side
    4,699.89x = 23,095,373.64
  5. Step 5: Solve for x
    x = 23,095,373.64/4,699.89
  6. Step 6: Final answer
    x = 4,914.02

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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.