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Finding the Fourth Proportional to 4,648.22, 6,405.09 and 4,320.14

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Solution

The fourth proportional to 4,648.22, 6,405.09 and 4,320.14 is: 5,953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.22 : 6,405.09 = 4,320.14 : x
  2. Step 2: Convert to fraction form
    4,648.22/6,405.09 = 4,320.14/x
  3. Step 3: Cross multiply
    4,648.22x = 6,405.09 × 4,320.14
  4. Step 4: Simplify right side
    4,648.22x = 27,670,885.51
  5. Step 5: Solve for x
    x = 27,670,885.51/4,648.22
  6. Step 6: Final answer
    x = 5,953.01

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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.