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Finding the Fourth Proportional to 4,699.64, 7,036.49 and 3,820.10

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Solution

The fourth proportional to 4,699.64, 7,036.49 and 3,820.10 is: 5,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.64 : 7,036.49 = 3,820.10 : x
  2. Step 2: Convert to fraction form
    4,699.64/7,036.49 = 3,820.10/x
  3. Step 3: Cross multiply
    4,699.64x = 7,036.49 × 3,820.10
  4. Step 4: Simplify right side
    4,699.64x = 26,880,069.82
  5. Step 5: Solve for x
    x = 26,880,069.82/4,699.64
  6. Step 6: Final answer
    x = 5,719.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.