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Finding the Fourth Proportional to 4,362, 6,544.08 and 1,284

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Solution

The fourth proportional to 4,362, 6,544.08 and 1,284 is: 1,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362 : 6,544.08 = 1,284 : x
  2. Step 2: Convert to fraction form
    4,362/6,544.08 = 1,284/x
  3. Step 3: Cross multiply
    4,362x = 6,544.08 × 1,284
  4. Step 4: Simplify right side
    4,362x = 8,402,598.72
  5. Step 5: Solve for x
    x = 8,402,598.72/4,362
  6. Step 6: Final answer
    x = 1,926.32

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Why These Related Problems?

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