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Finding the Fourth Proportional to 4,643.84, 6,415.36 and 3,655.68

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Solution

The fourth proportional to 4,643.84, 6,415.36 and 3,655.68 is: 5,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.84 : 6,415.36 = 3,655.68 : x
  2. Step 2: Convert to fraction form
    4,643.84/6,415.36 = 3,655.68/x
  3. Step 3: Cross multiply
    4,643.84x = 6,415.36 × 3,655.68
  4. Step 4: Simplify right side
    4,643.84x = 23,452,503.24
  5. Step 5: Solve for x
    x = 23,452,503.24/4,643.84
  6. Step 6: Final answer
    x = 5,050.24

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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.