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Finding the Fourth Proportional to 5,293.36, 7,941.32 and 1,830.64

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Solution

The fourth proportional to 5,293.36, 7,941.32 and 1,830.64 is: 2,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.36 : 7,941.32 = 1,830.64 : x
  2. Step 2: Convert to fraction form
    5,293.36/7,941.32 = 1,830.64/x
  3. Step 3: Cross multiply
    5,293.36x = 7,941.32 × 1,830.64
  4. Step 4: Simplify right side
    5,293.36x = 14,537,698.04
  5. Step 5: Solve for x
    x = 14,537,698.04/5,293.36
  6. Step 6: Final answer
    x = 2,746.40

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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.