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Finding the Fourth Proportional to 5,075.74, 7,570.20 and 4,899.40

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Solution

The fourth proportional to 5,075.74, 7,570.20 and 4,899.40 is: 7,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.74 : 7,570.20 = 4,899.40 : x
  2. Step 2: Convert to fraction form
    5,075.74/7,570.20 = 4,899.40/x
  3. Step 3: Cross multiply
    5,075.74x = 7,570.20 × 4,899.40
  4. Step 4: Simplify right side
    5,075.74x = 37,089,437.88
  5. Step 5: Solve for x
    x = 37,089,437.88/5,075.74
  6. Step 6: Final answer
    x = 7,307.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.